Mathlib Changelog
v4
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Commit
2025-07-24 16:31
66baa859
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chore: rename
Basis
to
Module.Basis
(
#27381
) Many other things can have bases.
Estimated changes
Modified
Mathlib/Algebra/Azumaya/Matrix.lean
Modified
Mathlib/Algebra/Category/FGModuleCat/Basic.lean
Modified
Mathlib/Algebra/Category/ModuleCat/Projective.lean
Modified
Mathlib/Algebra/DirectSum/LinearMap.lean
Modified
Mathlib/Algebra/DirectSum/Module.lean
Modified
Mathlib/Algebra/FreeAbelianGroup/Finsupp.lean
Modified
Mathlib/Algebra/Group/UniqueProds/VectorSpace.lean
Modified
Mathlib/Algebra/Lie/Rank.lean
Modified
Mathlib/Algebra/Module/Lattice.lean
deleted
theorem
Basis.extendOfIsLattice_apply
added
theorem
Module.Basis.extendOfIsLattice_apply
Modified
Mathlib/Algebra/Module/LinearMap/Polynomial.lean
Modified
Mathlib/Algebra/Module/Presentation/Differentials.lean
Modified
Mathlib/Algebra/Module/SpanRank.lean
added
theorem
Module.Basis.mk_eq_spanRank
deleted
theorem
Submodule.Basis.mk_eq_spanRank
modified
theorem
Submodule.rank_eq_spanRank_of_free
modified
theorem
Submodule.rank_le_spanRank
Modified
Mathlib/Algebra/Module/ZLattice/Basic.lean
deleted
def
Basis.ofZLatticeBasis
deleted
theorem
Basis.ofZLatticeBasis_apply
deleted
theorem
Basis.ofZLatticeBasis_comap
deleted
theorem
Basis.ofZLatticeBasis_repr_apply
deleted
theorem
Basis.ofZLatticeBasis_span
deleted
def
Basis.ofZLatticeComap
deleted
theorem
Basis.ofZLatticeComap_apply
deleted
theorem
Basis.ofZLatticeComap_repr_apply
added
def
Module.Basis.ofZLatticeBasis
added
theorem
Module.Basis.ofZLatticeBasis_apply
added
theorem
Module.Basis.ofZLatticeBasis_comap
added
theorem
Module.Basis.ofZLatticeBasis_repr_apply
added
theorem
Module.Basis.ofZLatticeBasis_span
added
def
Module.Basis.ofZLatticeComap
added
theorem
Module.Basis.ofZLatticeComap_apply
added
theorem
Module.Basis.ofZLatticeComap_repr_apply
Modified
Mathlib/Algebra/Polynomial/Basis.lean
Modified
Mathlib/Algebra/Polynomial/Sequence.lean
Modified
Mathlib/Algebra/Quaternion.lean
Modified
Mathlib/Algebra/SkewMonoidAlgebra/Basic.lean
modified
def
SkewMonoidAlgebra.basisSingleOne
Modified
Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean
Modified
Mathlib/Analysis/BoundedVariation.lean
Modified
Mathlib/Analysis/BoxIntegral/UnitPartition.lean
Modified
Mathlib/Analysis/Complex/Tietze.lean
Modified
Mathlib/Analysis/Fourier/FiniteAbelian/PontryaginDuality.lean
Modified
Mathlib/Analysis/InnerProductSpace/Adjoint.lean
Modified
Mathlib/Analysis/InnerProductSpace/Dual.lean
Modified
Mathlib/Analysis/InnerProductSpace/Orthonormal.lean
Modified
Mathlib/Analysis/InnerProductSpace/PiL2.lean
deleted
theorem
Basis.coe_toOrthonormalBasis
deleted
theorem
Basis.coe_toOrthonormalBasis_repr
deleted
theorem
Basis.coe_toOrthonormalBasis_repr_symm
deleted
theorem
Basis.toBasis_toOrthonormalBasis
deleted
def
Basis.toOrthonormalBasis
added
theorem
Module.Basis.coe_toOrthonormalBasis
added
theorem
Module.Basis.coe_toOrthonormalBasis_repr
added
theorem
Module.Basis.coe_toOrthonormalBasis_repr_symm
added
theorem
Module.Basis.toBasis_toOrthonormalBasis
added
def
Module.Basis.toOrthonormalBasis
Modified
Mathlib/Analysis/InnerProductSpace/ProdL2.lean
Modified
Mathlib/Analysis/InnerProductSpace/Subspace.lean
Modified
Mathlib/Analysis/Normed/Lp/PiLp.lean
Modified
Mathlib/Analysis/Normed/Module/FiniteDimension.lean
deleted
theorem
Basis.exists_opNNNorm_le
deleted
theorem
Basis.exists_opNorm_le
deleted
theorem
Basis.opNNNorm_le
deleted
theorem
Basis.opNorm_le
added
theorem
Module.Basis.exists_opNNNorm_le
added
theorem
Module.Basis.exists_opNorm_le
added
theorem
Module.Basis.opNNNorm_le
added
theorem
Module.Basis.opNorm_le
Modified
Mathlib/Analysis/Normed/Operator/LinearIsometry.lean
deleted
theorem
Basis.ext_linearIsometry
deleted
theorem
Basis.ext_linearIsometryEquiv
added
theorem
Module.Basis.ext_linearIsometry
added
theorem
Module.Basis.ext_linearIsometryEquiv
Modified
Mathlib/Analysis/Normed/Unbundled/FiniteExtension.lean
deleted
def
Basis.norm
deleted
theorem
Basis.norm_extends
deleted
theorem
Basis.norm_isNonarchimedean
deleted
theorem
Basis.norm_mul_le_const_mul_norm
deleted
theorem
Basis.norm_repr_le_norm
deleted
theorem
Basis.norm_smul
added
def
Module.Basis.norm
added
theorem
Module.Basis.norm_extends
added
theorem
Module.Basis.norm_isNonarchimedean
added
theorem
Module.Basis.norm_mul_le_const_mul_norm
added
theorem
Module.Basis.norm_repr_le_norm
added
theorem
Module.Basis.norm_smul
Modified
Mathlib/Analysis/SpecialFunctions/PolarCoord.lean
Modified
Mathlib/Analysis/SpecificLimits/Basic.lean
Modified
Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean
Modified
Mathlib/Data/Complex/Module.lean
Modified
Mathlib/FieldTheory/CardinalEmb.lean
Modified
Mathlib/FieldTheory/Normal/Basic.lean
Modified
Mathlib/FieldTheory/PurelyInseparable/PerfectClosure.lean
deleted
def
Basis.mapPowExpCharPowOfIsSeparable
added
def
Module.Basis.mapPowExpCharPowOfIsSeparable
Modified
Mathlib/FieldTheory/PurelyInseparable/Tower.lean
Modified
Mathlib/GroupTheory/FreeGroup/GeneratorEquiv.lean
Modified
Mathlib/LinearAlgebra/AffineSpace/Basis.lean
Modified
Mathlib/LinearAlgebra/AffineSpace/Independent.lean
Modified
Mathlib/LinearAlgebra/Alternating/Basic.lean
deleted
theorem
Basis.ext_alternating
added
theorem
Module.Basis.ext_alternating
Modified
Mathlib/LinearAlgebra/Basis/Basic.lean
deleted
theorem
Basis.basis_singleton_iff
deleted
theorem
Basis.coe_mk
deleted
theorem
Basis.index_nonempty
deleted
theorem
Basis.maximal
deleted
theorem
Basis.mem_span_image
deleted
theorem
Basis.mem_span_repr_support
deleted
theorem
Basis.mk_apply
deleted
theorem
Basis.mk_coord_apply
deleted
theorem
Basis.mk_coord_apply_eq
deleted
theorem
Basis.mk_coord_apply_ne
deleted
theorem
Basis.mk_repr
deleted
theorem
Basis.repr_range
deleted
theorem
Basis.repr_support_subset_of_mem_span
deleted
theorem
Basis.self_mem_span_image
deleted
theorem
Basis.singleton_apply
deleted
theorem
Basis.singleton_repr
added
theorem
Module.Basis.basis_singleton_iff
added
theorem
Module.Basis.coe_mk
added
theorem
Module.Basis.index_nonempty
added
theorem
Module.Basis.maximal
added
theorem
Module.Basis.mem_span_image
added
theorem
Module.Basis.mem_span_repr_support
added
theorem
Module.Basis.mk_apply
added
theorem
Module.Basis.mk_coord_apply
added
theorem
Module.Basis.mk_coord_apply_eq
added
theorem
Module.Basis.mk_coord_apply_ne
added
theorem
Module.Basis.mk_repr
added
theorem
Module.Basis.repr_range
added
theorem
Module.Basis.repr_support_subset_of_mem_span
added
theorem
Module.Basis.self_mem_span_image
added
theorem
Module.Basis.singleton_apply
added
theorem
Module.Basis.singleton_repr
Modified
Mathlib/LinearAlgebra/Basis/Bilinear.lean
Modified
Mathlib/LinearAlgebra/Basis/Cardinality.lean
Modified
Mathlib/LinearAlgebra/Basis/Defs.lean
deleted
theorem
Basis.apply_eq_iff
deleted
theorem
Basis.coe_map
deleted
theorem
Basis.coe_mapCoeffs
deleted
theorem
Basis.coe_ofEquivFun
deleted
theorem
Basis.coe_ofRepr
deleted
theorem
Basis.coe_reindex
deleted
theorem
Basis.coe_repr_symm
deleted
theorem
Basis.coe_sumCoords
deleted
theorem
Basis.coe_sumCoords_eq_finsum
deleted
theorem
Basis.coe_sumCoords_of_fintype
deleted
def
Basis.constr
deleted
theorem
Basis.constr_apply
deleted
theorem
Basis.constr_apply_fintype
deleted
theorem
Basis.constr_basis
deleted
theorem
Basis.constr_comp
deleted
theorem
Basis.constr_def
deleted
theorem
Basis.constr_eq
deleted
theorem
Basis.constr_range
deleted
theorem
Basis.constr_self
deleted
def
Basis.coord
deleted
theorem
Basis.coord_equivFun_symm
deleted
theorem
Basis.coord_repr_symm
deleted
theorem
Basis.dvd_coord_smul
deleted
theorem
Basis.eq_ofRepr_eq_repr
deleted
theorem
Basis.eq_of_apply_eq
deleted
def
Basis.equiv'
deleted
theorem
Basis.equiv'_apply
deleted
theorem
Basis.equiv'_symm_apply
deleted
def
Basis.equivFun
deleted
theorem
Basis.equivFun_apply
deleted
theorem
Basis.equivFun_ofEquivFun
deleted
theorem
Basis.equivFun_self
deleted
theorem
Basis.equivFun_symm_apply
deleted
theorem
Basis.equiv_apply
deleted
theorem
Basis.equiv_refl
deleted
theorem
Basis.equiv_symm
deleted
theorem
Basis.equiv_trans
deleted
theorem
Basis.ext'
deleted
theorem
Basis.ext
deleted
theorem
Basis.ext_elem_iff
deleted
theorem
Basis.forall_coord_eq_zero_iff
deleted
theorem
Basis.linearCombination_repr
deleted
def
Basis.mapCoeffs
deleted
theorem
Basis.mapCoeffs_apply
deleted
theorem
Basis.map_apply
deleted
theorem
Basis.map_equiv
deleted
theorem
Basis.map_equivFun
deleted
def
Basis.ofEquivFun
deleted
theorem
Basis.ofEquivFun_equivFun
deleted
theorem
Basis.ofEquivFun_repr_apply
deleted
theorem
Basis.range_reindex
deleted
def
Basis.reindex
deleted
def
Basis.reindexFinsetRange
deleted
theorem
Basis.reindexFinsetRange_apply
deleted
theorem
Basis.reindexFinsetRange_repr
deleted
theorem
Basis.reindexFinsetRange_repr_self
deleted
theorem
Basis.reindexFinsetRange_self
deleted
def
Basis.reindexRange
deleted
theorem
Basis.reindexRange_apply
deleted
theorem
Basis.reindexRange_repr'
deleted
theorem
Basis.reindexRange_repr
deleted
theorem
Basis.reindexRange_repr_self
deleted
theorem
Basis.reindexRange_self
deleted
theorem
Basis.reindex_apply
deleted
theorem
Basis.reindex_refl
deleted
theorem
Basis.repr_apply_eq
deleted
theorem
Basis.repr_eq_iff'
deleted
theorem
Basis.repr_eq_iff
deleted
theorem
Basis.repr_injective
deleted
theorem
Basis.repr_linearCombination
deleted
theorem
Basis.repr_reindex
deleted
theorem
Basis.repr_reindex_apply
deleted
theorem
Basis.repr_self
deleted
theorem
Basis.repr_self_apply
deleted
theorem
Basis.repr_sum_self
deleted
theorem
Basis.repr_symm_apply
deleted
theorem
Basis.repr_symm_single
deleted
theorem
Basis.repr_symm_single_one
deleted
theorem
Basis.sumCoords_reindex
deleted
theorem
Basis.sumCoords_self_apply
deleted
theorem
Basis.sum_equivFun
deleted
theorem
Basis.sum_repr
deleted
theorem
Basis.sum_repr_mul_repr
deleted
structure
Basis
added
theorem
Module.Basis.apply_eq_iff
added
theorem
Module.Basis.coe_map
added
theorem
Module.Basis.coe_mapCoeffs
added
theorem
Module.Basis.coe_ofEquivFun
added
theorem
Module.Basis.coe_ofRepr
added
theorem
Module.Basis.coe_reindex
added
theorem
Module.Basis.coe_repr_symm
added
theorem
Module.Basis.coe_sumCoords
added
theorem
Module.Basis.coe_sumCoords_eq_finsum
added
theorem
Module.Basis.coe_sumCoords_of_fintype
added
def
Module.Basis.constr
added
theorem
Module.Basis.constr_apply
added
theorem
Module.Basis.constr_apply_fintype
added
theorem
Module.Basis.constr_basis
added
theorem
Module.Basis.constr_comp
added
theorem
Module.Basis.constr_def
added
theorem
Module.Basis.constr_eq
added
theorem
Module.Basis.constr_range
added
theorem
Module.Basis.constr_self
added
def
Module.Basis.coord
added
theorem
Module.Basis.coord_equivFun_symm
added
theorem
Module.Basis.coord_repr_symm
added
theorem
Module.Basis.dvd_coord_smul
added
theorem
Module.Basis.eq_ofRepr_eq_repr
added
theorem
Module.Basis.eq_of_apply_eq
added
def
Module.Basis.equiv'
added
theorem
Module.Basis.equiv'_apply
added
theorem
Module.Basis.equiv'_symm_apply
added
def
Module.Basis.equivFun
added
theorem
Module.Basis.equivFun_apply
added
theorem
Module.Basis.equivFun_ofEquivFun
added
theorem
Module.Basis.equivFun_self
added
theorem
Module.Basis.equivFun_symm_apply
added
theorem
Module.Basis.equiv_apply
added
theorem
Module.Basis.equiv_refl
added
theorem
Module.Basis.equiv_symm
added
theorem
Module.Basis.equiv_trans
added
theorem
Module.Basis.ext'
added
theorem
Module.Basis.ext
added
theorem
Module.Basis.ext_elem_iff
added
theorem
Module.Basis.forall_coord_eq_zero_iff
added
theorem
Module.Basis.linearCombination_repr
added
def
Module.Basis.mapCoeffs
added
theorem
Module.Basis.mapCoeffs_apply
added
theorem
Module.Basis.map_apply
added
theorem
Module.Basis.map_equiv
added
theorem
Module.Basis.map_equivFun
added
def
Module.Basis.ofEquivFun
added
theorem
Module.Basis.ofEquivFun_equivFun
added
theorem
Module.Basis.ofEquivFun_repr_apply
added
theorem
Module.Basis.range_reindex
added
def
Module.Basis.reindex
added
def
Module.Basis.reindexFinsetRange
added
theorem
Module.Basis.reindexFinsetRange_apply
added
theorem
Module.Basis.reindexFinsetRange_repr
added
theorem
Module.Basis.reindexFinsetRange_repr_self
added
theorem
Module.Basis.reindexFinsetRange_self
added
def
Module.Basis.reindexRange
added
theorem
Module.Basis.reindexRange_apply
added
theorem
Module.Basis.reindexRange_repr'
added
theorem
Module.Basis.reindexRange_repr
added
theorem
Module.Basis.reindexRange_repr_self
added
theorem
Module.Basis.reindexRange_self
added
theorem
Module.Basis.reindex_apply
added
theorem
Module.Basis.reindex_refl
added
theorem
Module.Basis.repr_apply_eq
added
theorem
Module.Basis.repr_eq_iff'
added
theorem
Module.Basis.repr_eq_iff
added
theorem
Module.Basis.repr_injective
added
theorem
Module.Basis.repr_linearCombination
added
theorem
Module.Basis.repr_reindex
added
theorem
Module.Basis.repr_reindex_apply
added
theorem
Module.Basis.repr_self
added
theorem
Module.Basis.repr_self_apply
added
theorem
Module.Basis.repr_sum_self
added
theorem
Module.Basis.repr_symm_apply
added
theorem
Module.Basis.repr_symm_single
added
theorem
Module.Basis.repr_symm_single_one
added
theorem
Module.Basis.sumCoords_reindex
added
theorem
Module.Basis.sumCoords_self_apply
added
theorem
Module.Basis.sum_equivFun
added
theorem
Module.Basis.sum_repr
added
theorem
Module.Basis.sum_repr_mul_repr
added
structure
Module.Basis
modified
theorem
Module.card_fintype
modified
def
Module.fintypeOfFintype
Modified
Mathlib/LinearAlgebra/Basis/Exact.lean
Modified
Mathlib/LinearAlgebra/Basis/Fin.lean
deleted
theorem
Basis.coe_finTwoProd_repr
deleted
theorem
Basis.coe_mkFinCons
deleted
theorem
Basis.coe_mkFinConsOfLE
deleted
theorem
Basis.finTwoProd_one
deleted
theorem
Basis.finTwoProd_zero
added
theorem
Module.Basis.coe_finTwoProd_repr
added
theorem
Module.Basis.coe_mkFinCons
added
theorem
Module.Basis.coe_mkFinConsOfLE
added
theorem
Module.Basis.finTwoProd_one
added
theorem
Module.Basis.finTwoProd_zero
Modified
Mathlib/LinearAlgebra/Basis/Flag.lean
deleted
def
Basis.flag
deleted
theorem
Basis.flag_covBy
deleted
theorem
Basis.flag_last
deleted
theorem
Basis.flag_le_flag
deleted
theorem
Basis.flag_le_iff
deleted
theorem
Basis.flag_le_ker_coord
deleted
theorem
Basis.flag_le_ker_coord_iff
deleted
theorem
Basis.flag_le_ker_dual
deleted
theorem
Basis.flag_lt_flag
deleted
theorem
Basis.flag_mono
deleted
theorem
Basis.flag_strictMono
deleted
theorem
Basis.flag_succ
deleted
theorem
Basis.flag_wcovBy
deleted
theorem
Basis.flag_zero
deleted
theorem
Basis.isChain_range_flag
deleted
theorem
Basis.isMaxChain_range_flag
deleted
theorem
Basis.mem_toFlag
deleted
theorem
Basis.self_mem_flag
deleted
theorem
Basis.self_mem_flag_iff
deleted
def
Basis.toFlag
added
def
Module.Basis.flag
added
theorem
Module.Basis.flag_covBy
added
theorem
Module.Basis.flag_last
added
theorem
Module.Basis.flag_le_flag
added
theorem
Module.Basis.flag_le_iff
added
theorem
Module.Basis.flag_le_ker_coord
added
theorem
Module.Basis.flag_le_ker_coord_iff
added
theorem
Module.Basis.flag_le_ker_dual
added
theorem
Module.Basis.flag_lt_flag
added
theorem
Module.Basis.flag_mono
added
theorem
Module.Basis.flag_strictMono
added
theorem
Module.Basis.flag_succ
added
theorem
Module.Basis.flag_wcovBy
added
theorem
Module.Basis.flag_zero
added
theorem
Module.Basis.isChain_range_flag
added
theorem
Module.Basis.isMaxChain_range_flag
added
theorem
Module.Basis.mem_toFlag
added
theorem
Module.Basis.self_mem_flag
added
theorem
Module.Basis.self_mem_flag_iff
added
def
Module.Basis.toFlag
Modified
Mathlib/LinearAlgebra/Basis/MulOpposite.lean
deleted
theorem
Basis.mulOpposite_apply
deleted
theorem
Basis.mulOpposite_repr_eq
deleted
theorem
Basis.mulOpposite_repr_op
deleted
theorem
Basis.repr_unop_eq_mulOpposite_repr
added
theorem
Module.Basis.mulOpposite_apply
added
theorem
Module.Basis.mulOpposite_repr_eq
added
theorem
Module.Basis.mulOpposite_repr_op
added
theorem
Module.Basis.repr_unop_eq_mulOpposite_repr
Modified
Mathlib/LinearAlgebra/Basis/Prod.lean
deleted
theorem
Basis.prod_apply
deleted
theorem
Basis.prod_apply_inl_fst
deleted
theorem
Basis.prod_apply_inl_snd
deleted
theorem
Basis.prod_apply_inr_fst
deleted
theorem
Basis.prod_apply_inr_snd
deleted
theorem
Basis.prod_repr_inl
deleted
theorem
Basis.prod_repr_inr
added
theorem
Module.Basis.prod_apply
added
theorem
Module.Basis.prod_apply_inl_fst
added
theorem
Module.Basis.prod_apply_inl_snd
added
theorem
Module.Basis.prod_apply_inr_fst
added
theorem
Module.Basis.prod_apply_inr_snd
added
theorem
Module.Basis.prod_repr_inl
added
theorem
Module.Basis.prod_repr_inr
Modified
Mathlib/LinearAlgebra/Basis/SMul.lean
deleted
theorem
Basis.coe_smul
deleted
theorem
Basis.coord_unitsSMul
deleted
def
Basis.groupSMul
deleted
theorem
Basis.groupSMul_apply
deleted
theorem
Basis.groupSMul_span_eq_top
deleted
def
Basis.isUnitSMul
deleted
theorem
Basis.isUnitSMul_apply
deleted
theorem
Basis.repr_isUnitSMul
deleted
theorem
Basis.repr_smul
deleted
theorem
Basis.repr_unitsSMul
deleted
theorem
Basis.smul_apply
deleted
theorem
Basis.smul_eq_map
deleted
def
Basis.unitsSMul
deleted
theorem
Basis.unitsSMul_apply
deleted
theorem
Basis.units_smul_span_eq_top
added
theorem
Module.Basis.coe_smul
added
theorem
Module.Basis.coord_unitsSMul
added
def
Module.Basis.groupSMul
added
theorem
Module.Basis.groupSMul_apply
added
theorem
Module.Basis.groupSMul_span_eq_top
added
def
Module.Basis.isUnitSMul
added
theorem
Module.Basis.isUnitSMul_apply
added
theorem
Module.Basis.repr_isUnitSMul
added
theorem
Module.Basis.repr_smul
added
theorem
Module.Basis.repr_unitsSMul
added
theorem
Module.Basis.smul_apply
added
theorem
Module.Basis.smul_eq_map
added
def
Module.Basis.unitsSMul
added
theorem
Module.Basis.unitsSMul_apply
added
theorem
Module.Basis.units_smul_span_eq_top
Modified
Mathlib/LinearAlgebra/Basis/Submodule.lean
deleted
theorem
Basis.addSubgroupOfClosure_apply
deleted
theorem
Basis.addSubgroupOfClosure_repr_apply
deleted
theorem
Basis.eq_bot_of_rank_eq_zero
deleted
theorem
Basis.mem_center_iff
deleted
theorem
Basis.mem_span_iff_repr_mem
deleted
theorem
Basis.mem_submodule_iff'
deleted
theorem
Basis.mem_submodule_iff
deleted
theorem
Basis.restrictScalars_apply
deleted
theorem
Basis.restrictScalars_repr_apply
added
theorem
Module.Basis.Basis.eq_bot_of_rank_eq_zero
added
theorem
Module.Basis.Module.Basis.addSubgroupOfClosure_apply
added
theorem
Module.Basis.Module.Basis.addSubgroupOfClosure_repr_apply
added
theorem
Module.Basis.Module.Basis.mem_center_iff
added
theorem
Module.Basis.Module.Basis.mem_span_iff_repr_mem
added
theorem
Module.Basis.Module.Basis.restrictScalars_apply
added
theorem
Module.Basis.Module.Basis.restrictScalars_repr_apply
added
def
Module.Basis.Submodule.inductionOnRankAux
added
theorem
Module.Basis.mem_submodule_iff'
added
theorem
Module.Basis.mem_submodule_iff
deleted
def
Submodule.inductionOnRankAux
Modified
Mathlib/LinearAlgebra/Basis/VectorSpace.lean
deleted
theorem
Basis.coe_extend
deleted
theorem
Basis.coe_extendLe
deleted
theorem
Basis.coe_ofSpan
deleted
theorem
Basis.coe_ofVectorSpace
deleted
theorem
Basis.exists_basis
deleted
theorem
Basis.extendLe_apply_self
deleted
theorem
Basis.extendLe_subset
deleted
theorem
Basis.extend_apply_self
deleted
theorem
Basis.ofSpan_apply_self
deleted
theorem
Basis.ofSpan_subset
deleted
theorem
Basis.ofVectorSpaceIndex.linearIndependent
deleted
theorem
Basis.ofVectorSpace_apply_self
deleted
theorem
Basis.range_extend
deleted
theorem
Basis.range_extendLe
deleted
theorem
Basis.range_ofSpan
deleted
theorem
Basis.range_ofVectorSpace
deleted
theorem
Basis.subset_extend
deleted
theorem
Basis.subset_extendLe
deleted
def
Basis.sumExtendIndex
added
theorem
Module.Basis.coe_extend
added
theorem
Module.Basis.coe_extendLe
added
theorem
Module.Basis.coe_ofSpan
added
theorem
Module.Basis.coe_ofVectorSpace
added
theorem
Module.Basis.exists_basis
added
theorem
Module.Basis.extendLe_apply_self
added
theorem
Module.Basis.extendLe_subset
added
theorem
Module.Basis.extend_apply_self
added
theorem
Module.Basis.ofSpan_apply_self
added
theorem
Module.Basis.ofSpan_subset
added
theorem
Module.Basis.ofVectorSpaceIndex.linearIndependent
added
theorem
Module.Basis.ofVectorSpace_apply_self
added
theorem
Module.Basis.range_extend
added
theorem
Module.Basis.range_extendLe
added
theorem
Module.Basis.range_ofSpan
added
theorem
Module.Basis.range_ofVectorSpace
added
theorem
Module.Basis.subset_extend
added
theorem
Module.Basis.subset_extendLe
added
def
Module.Basis.sumExtendIndex
Modified
Mathlib/LinearAlgebra/BilinearForm/DualLattice.lean
Modified
Mathlib/LinearAlgebra/BilinearForm/Hom.lean
Modified
Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean
Modified
Mathlib/LinearAlgebra/BilinearForm/Properties.lean
Modified
Mathlib/LinearAlgebra/Charpoly/BaseChange.lean
Modified
Mathlib/LinearAlgebra/Charpoly/ToMatrix.lean
Modified
Mathlib/LinearAlgebra/Determinant.lean
deleted
theorem
Basis.det_apply
deleted
theorem
Basis.det_basis
deleted
theorem
Basis.det_comp
deleted
theorem
Basis.det_comp_basis
deleted
theorem
Basis.det_inv
deleted
theorem
Basis.det_isEmpty
deleted
theorem
Basis.det_isUnitSMul
deleted
theorem
Basis.det_map'
deleted
theorem
Basis.det_map
deleted
theorem
Basis.det_ne_zero
deleted
theorem
Basis.det_reindex'
deleted
theorem
Basis.det_reindex
deleted
theorem
Basis.det_reindex_symm
deleted
theorem
Basis.det_self
deleted
theorem
Basis.det_smul_mk_coord_eq_det_update
deleted
theorem
Basis.det_unitsSMul
deleted
theorem
Basis.det_unitsSMul_self
deleted
theorem
Basis.isUnit_det
deleted
theorem
Basis.smul_det
added
theorem
Module.Basis.det_apply
added
theorem
Module.Basis.det_basis
added
theorem
Module.Basis.det_comp
added
theorem
Module.Basis.det_comp_basis
added
theorem
Module.Basis.det_inv
added
theorem
Module.Basis.det_isEmpty
added
theorem
Module.Basis.det_isUnitSMul
added
theorem
Module.Basis.det_map'
added
theorem
Module.Basis.det_map
added
theorem
Module.Basis.det_ne_zero
added
theorem
Module.Basis.det_reindex'
added
theorem
Module.Basis.det_reindex
added
theorem
Module.Basis.det_reindex_symm
added
theorem
Module.Basis.det_self
added
theorem
Module.Basis.det_smul_mk_coord_eq_det_update
added
theorem
Module.Basis.det_unitsSMul
added
theorem
Module.Basis.det_unitsSMul_self
added
theorem
Module.Basis.isUnit_det
added
theorem
Module.Basis.is_basis_iff_det
added
theorem
Module.Basis.smul_det
deleted
theorem
is_basis_iff_det
Modified
Mathlib/LinearAlgebra/Dimension/DivisionRing.lean
deleted
theorem
Basis.finite_ofVectorSpaceIndex_of_rank_lt_aleph0
added
theorem
Module.Basis.finite_ofVectorSpaceIndex_of_rank_lt_aleph0
Modified
Mathlib/LinearAlgebra/Dimension/Finite.lean
deleted
theorem
Basis.finite_index_of_rank_lt_aleph0
deleted
theorem
Basis.nonempty_fintype_index_of_rank_lt_aleph0
added
theorem
Module.Basis.finite_index_of_rank_lt_aleph0
added
theorem
Module.Basis.nonempty_fintype_index_of_rank_lt_aleph0
Modified
Mathlib/LinearAlgebra/Dimension/StrongRankCondition.lean
deleted
theorem
Basis.card_le_card_of_le
deleted
theorem
Basis.card_le_card_of_linearIndependent
deleted
theorem
Basis.card_le_card_of_submodule
deleted
def
Basis.indexEquiv
deleted
theorem
Basis.le_span
deleted
theorem
Basis.mk_eq_rank''
deleted
theorem
Basis.mk_eq_rank'.{m}
deleted
theorem
Basis.mk_eq_rank
deleted
theorem
Basis.mk_range_eq_rank
added
theorem
Module.Basis.card_le_card_of_le
added
theorem
Module.Basis.card_le_card_of_linearIndependent
added
theorem
Module.Basis.card_le_card_of_submodule
added
def
Module.Basis.indexEquiv
added
theorem
Module.Basis.le_span
added
theorem
Module.Basis.mk_eq_rank''
added
theorem
Module.Basis.mk_eq_rank'.{m}
added
theorem
Module.Basis.mk_eq_rank
added
theorem
Module.Basis.mk_range_eq_rank
Modified
Mathlib/LinearAlgebra/Dual/Basis.lean
deleted
theorem
Basis.coe_dualBasis
deleted
theorem
Basis.coe_toDual_self
deleted
theorem
Basis.coord_toDualEquiv_symm_apply
deleted
def
Basis.dualBasis
deleted
theorem
Basis.dualBasis_apply
deleted
theorem
Basis.dualBasis_apply_self
deleted
theorem
Basis.dualBasis_coord_toDualEquiv_apply
deleted
theorem
Basis.dualBasis_equivFun
deleted
theorem
Basis.dualBasis_repr
deleted
theorem
Basis.eval_injective
deleted
theorem
Basis.eval_ker
deleted
theorem
Basis.eval_range
deleted
theorem
Basis.linearCombination_coord
deleted
theorem
Basis.linearCombination_dualBasis
deleted
theorem
Basis.sum_dual_apply_smul_coord
deleted
def
Basis.toDual
deleted
def
Basis.toDualEquiv
deleted
theorem
Basis.toDualEquiv_apply
deleted
def
Basis.toDualFlip
deleted
theorem
Basis.toDualFlip_apply
deleted
theorem
Basis.toDual_apply
deleted
theorem
Basis.toDual_apply_left
deleted
theorem
Basis.toDual_apply_right
deleted
theorem
Basis.toDual_eq_equivFun
deleted
theorem
Basis.toDual_eq_repr
deleted
theorem
Basis.toDual_inj
deleted
theorem
Basis.toDual_injective
deleted
theorem
Basis.toDual_ker
deleted
theorem
Basis.toDual_linearCombination_left
deleted
theorem
Basis.toDual_linearCombination_right
deleted
theorem
Basis.toDual_range
deleted
theorem
Basis.toDual_toDual
added
theorem
Module.Basis.coe_dualBasis
added
theorem
Module.Basis.coe_toDual_self
added
theorem
Module.Basis.coord_toDualEquiv_symm_apply
added
def
Module.Basis.dualBasis
added
theorem
Module.Basis.dualBasis_apply
added
theorem
Module.Basis.dualBasis_apply_self
added
theorem
Module.Basis.dualBasis_coord_toDualEquiv_apply
added
theorem
Module.Basis.dualBasis_equivFun
added
theorem
Module.Basis.dualBasis_repr
added
theorem
Module.Basis.eval_injective
added
theorem
Module.Basis.eval_ker
added
theorem
Module.Basis.eval_range
added
theorem
Module.Basis.linearCombination_coord
added
theorem
Module.Basis.linearCombination_dualBasis
added
theorem
Module.Basis.sum_dual_apply_smul_coord
added
def
Module.Basis.toDual
added
def
Module.Basis.toDualEquiv
added
theorem
Module.Basis.toDualEquiv_apply
added
def
Module.Basis.toDualFlip
added
theorem
Module.Basis.toDualFlip_apply
added
theorem
Module.Basis.toDual_apply
added
theorem
Module.Basis.toDual_apply_left
added
theorem
Module.Basis.toDual_apply_right
added
theorem
Module.Basis.toDual_eq_equivFun
added
theorem
Module.Basis.toDual_eq_repr
added
theorem
Module.Basis.toDual_inj
added
theorem
Module.Basis.toDual_injective
added
theorem
Module.Basis.toDual_ker
added
theorem
Module.Basis.toDual_linearCombination_left
added
theorem
Module.Basis.toDual_linearCombination_right
added
theorem
Module.Basis.toDual_range
added
theorem
Module.Basis.toDual_toDual
Modified
Mathlib/LinearAlgebra/Dual/Lemmas.lean
deleted
theorem
Basis.dual_rank_eq
added
theorem
Module.Basis.dual_rank_eq
Modified
Mathlib/LinearAlgebra/Eigenspace/Matrix.lean
Modified
Mathlib/LinearAlgebra/Finsupp/VectorSpace.lean
deleted
theorem
Basis.repr_smul'
added
theorem
Module.Basis.repr_smul'
Modified
Mathlib/LinearAlgebra/FreeAlgebra.lean
Modified
Mathlib/LinearAlgebra/FreeModule/Basic.lean
added
theorem
Module.Basis.repr_algebraMap
deleted
theorem
Module.Free.Basis.repr_algebraMap
Modified
Mathlib/LinearAlgebra/FreeModule/Finite/CardQuotient.lean
Modified
Mathlib/LinearAlgebra/FreeModule/Finite/Quotient.lean
Modified
Mathlib/LinearAlgebra/FreeModule/IdealQuotient.lean
Modified
Mathlib/LinearAlgebra/FreeModule/Int.lean
deleted
theorem
Basis.SmithNormalForm.toAddSubgroup_index_eq_ite
deleted
theorem
Basis.SmithNormalForm.toAddSubgroup_index_eq_pow_mul_prod
deleted
theorem
Basis.SmithNormalForm.toAddSubgroup_index_ne_zero_iff
added
theorem
Module.Basis.SmithNormalForm.toAddSubgroup_index_eq_ite
added
theorem
Module.Basis.SmithNormalForm.toAddSubgroup_index_eq_pow_mul_prod
added
theorem
Module.Basis.SmithNormalForm.toAddSubgroup_index_ne_zero_iff
Modified
Mathlib/LinearAlgebra/FreeModule/ModN.lean
Modified
Mathlib/LinearAlgebra/FreeModule/Norm.lean
Modified
Mathlib/LinearAlgebra/FreeModule/PID.lean
deleted
theorem
Basis.SmithNormalForm.coord_apply_embedding_eq_smul_coord
deleted
theorem
Basis.SmithNormalForm.le_ker_coord_of_notMem_range
deleted
theorem
Basis.SmithNormalForm.repr_apply_embedding_eq_repr_smul
deleted
theorem
Basis.SmithNormalForm.repr_comp_embedding_eq_smul
deleted
theorem
Basis.SmithNormalForm.repr_eq_zero_of_notMem_range
deleted
theorem
Basis.SmithNormalForm.toMatrix_restrict_eq_toMatrix
deleted
structure
Basis.SmithNormalForm
added
theorem
Module.Basis.SmithNormalForm.coord_apply_embedding_eq_smul_coord
added
theorem
Module.Basis.SmithNormalForm.le_ker_coord_of_notMem_range
added
theorem
Module.Basis.SmithNormalForm.repr_apply_embedding_eq_repr_smul
added
theorem
Module.Basis.SmithNormalForm.repr_comp_embedding_eq_smul
added
theorem
Module.Basis.SmithNormalForm.repr_eq_zero_of_notMem_range
added
theorem
Module.Basis.SmithNormalForm.toMatrix_restrict_eq_toMatrix
added
structure
Module.Basis.SmithNormalForm
Modified
Mathlib/LinearAlgebra/LinearDisjoint.lean
Modified
Mathlib/LinearAlgebra/Matrix/Basis.lean
deleted
theorem
Basis.coePiBasisFun.toMatrix_eq_transpose
deleted
def
Basis.invertibleToMatrix
deleted
theorem
Basis.restrictScalars_toMatrix
deleted
theorem
Basis.sum_toMatrix_smul_self
deleted
theorem
Basis.toLin_toMatrix
deleted
def
Basis.toMatrix
deleted
def
Basis.toMatrixEquiv
deleted
theorem
Basis.toMatrix_apply
deleted
theorem
Basis.toMatrix_eq_toMatrix_constr
deleted
theorem
Basis.toMatrix_isUnitSMul
deleted
theorem
Basis.toMatrix_map
deleted
theorem
Basis.toMatrix_map_vecMul
deleted
theorem
Basis.toMatrix_mulVec_repr
deleted
theorem
Basis.toMatrix_mul_toMatrix
deleted
theorem
Basis.toMatrix_mul_toMatrix_flip
deleted
theorem
Basis.toMatrix_reindex'
deleted
theorem
Basis.toMatrix_reindex
deleted
theorem
Basis.toMatrix_self
deleted
theorem
Basis.toMatrix_smul
deleted
theorem
Basis.toMatrix_smul_left
deleted
theorem
Basis.toMatrix_transpose_apply
deleted
theorem
Basis.toMatrix_unitsSMul
deleted
theorem
Basis.toMatrix_update
added
theorem
Module.Basis.coePiBasisFun.toMatrix_eq_transpose
added
def
Module.Basis.invertibleToMatrix
added
theorem
Module.Basis.restrictScalars_toMatrix
added
theorem
Module.Basis.sum_toMatrix_smul_self
added
theorem
Module.Basis.toLin_toMatrix
added
def
Module.Basis.toMatrix
added
def
Module.Basis.toMatrixEquiv
added
theorem
Module.Basis.toMatrix_apply
added
theorem
Module.Basis.toMatrix_eq_toMatrix_constr
added
theorem
Module.Basis.toMatrix_isUnitSMul
added
theorem
Module.Basis.toMatrix_map
added
theorem
Module.Basis.toMatrix_map_vecMul
added
theorem
Module.Basis.toMatrix_mulVec_repr
added
theorem
Module.Basis.toMatrix_mul_toMatrix
added
theorem
Module.Basis.toMatrix_mul_toMatrix_flip
added
theorem
Module.Basis.toMatrix_reindex'
added
theorem
Module.Basis.toMatrix_reindex
added
theorem
Module.Basis.toMatrix_self
added
theorem
Module.Basis.toMatrix_smul
added
theorem
Module.Basis.toMatrix_smul_left
added
theorem
Module.Basis.toMatrix_transpose_apply
added
theorem
Module.Basis.toMatrix_unitsSMul
added
theorem
Module.Basis.toMatrix_update
Modified
Mathlib/LinearAlgebra/Matrix/BilinearForm.lean
Modified
Mathlib/LinearAlgebra/Matrix/Charpoly/Minpoly.lean
Modified
Mathlib/LinearAlgebra/Matrix/Dual.lean
Modified
Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Card.lean
Modified
Mathlib/LinearAlgebra/Matrix/LDL.lean
Modified
Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean
Modified
Mathlib/LinearAlgebra/Matrix/Spectrum.lean
Modified
Mathlib/LinearAlgebra/Matrix/StdBasis.lean
deleted
theorem
Basis.matrix_apply
added
theorem
Module.Basis.matrix_apply
Modified
Mathlib/LinearAlgebra/Matrix/ToLin.lean
deleted
theorem
Basis.end_apply
deleted
theorem
Basis.end_apply_apply
deleted
def
Basis.linearMap
deleted
theorem
Basis.linearMap_apply
deleted
theorem
Basis.linearMap_apply_apply
added
theorem
Module.Basis.end_apply
added
theorem
Module.Basis.end_apply_apply
added
def
Module.Basis.linearMap
added
theorem
Module.Basis.linearMap_apply
added
theorem
Module.Basis.linearMap_apply_apply
Modified
Mathlib/LinearAlgebra/Matrix/ToLinearEquiv.lean
Modified
Mathlib/LinearAlgebra/Multilinear/Basis.lean
deleted
theorem
Basis.ext_multilinear
added
theorem
Module.Basis.ext_multilinear
Modified
Mathlib/LinearAlgebra/Orientation.lean
deleted
theorem
Basis.abs_det_adjustToOrientation
deleted
def
Basis.adjustToOrientation
deleted
theorem
Basis.adjustToOrientation_apply_eq_or_eq_neg
deleted
theorem
Basis.det_adjustToOrientation
deleted
theorem
Basis.map_orientation_eq_det_inv_smul
deleted
theorem
Basis.orientation_adjustToOrientation
deleted
theorem
Basis.orientation_comp_linearEquiv_eq_iff_det_pos
deleted
theorem
Basis.orientation_comp_linearEquiv_eq_neg_iff_det_neg
deleted
theorem
Basis.orientation_eq_iff_det_pos
deleted
theorem
Basis.orientation_eq_or_eq_neg
deleted
theorem
Basis.orientation_isEmpty
deleted
theorem
Basis.orientation_map
deleted
theorem
Basis.orientation_ne_iff_eq_neg
deleted
theorem
Basis.orientation_neg_single
deleted
theorem
Basis.orientation_reindex
deleted
theorem
Basis.orientation_unitsSMul
added
theorem
Module.Basis.abs_det_adjustToOrientation
added
def
Module.Basis.adjustToOrientation
added
theorem
Module.Basis.adjustToOrientation_apply_eq_or_eq_neg
added
theorem
Module.Basis.det_adjustToOrientation
added
theorem
Module.Basis.map_orientation_eq_det_inv_smul
added
theorem
Module.Basis.orientation_adjustToOrientation
added
theorem
Module.Basis.orientation_comp_linearEquiv_eq_iff_det_pos
added
theorem
Module.Basis.orientation_comp_linearEquiv_eq_neg_iff_det_neg
added
theorem
Module.Basis.orientation_eq_iff_det_pos
added
theorem
Module.Basis.orientation_eq_or_eq_neg
added
theorem
Module.Basis.orientation_isEmpty
added
theorem
Module.Basis.orientation_map
added
theorem
Module.Basis.orientation_ne_iff_eq_neg
added
theorem
Module.Basis.orientation_neg_single
added
theorem
Module.Basis.orientation_reindex
added
theorem
Module.Basis.orientation_unitsSMul
Modified
Mathlib/LinearAlgebra/PID.lean
Modified
Mathlib/LinearAlgebra/QuadraticForm/Basic.lean
Modified
Mathlib/LinearAlgebra/QuadraticForm/Basis.lean
Modified
Mathlib/LinearAlgebra/QuadraticForm/Complex.lean
Modified
Mathlib/LinearAlgebra/QuadraticForm/IsometryEquiv.lean
Modified
Mathlib/LinearAlgebra/QuadraticForm/Real.lean
Modified
Mathlib/LinearAlgebra/RootSystem/Base.lean
Modified
Mathlib/LinearAlgebra/SesquilinearForm.lean
Modified
Mathlib/LinearAlgebra/StdBasis.lean
Modified
Mathlib/LinearAlgebra/SymmetricAlgebra/Basis.lean
Modified
Mathlib/LinearAlgebra/TensorAlgebra/Basis.lean
Modified
Mathlib/LinearAlgebra/TensorProduct/Basis.lean
deleted
def
Basis.baseChange
deleted
theorem
Basis.baseChange_apply
deleted
theorem
Basis.baseChange_repr_tmul
deleted
def
Basis.tensorProduct
deleted
theorem
Basis.tensorProduct_apply'
deleted
theorem
Basis.tensorProduct_apply
deleted
theorem
Basis.tensorProduct_repr_tmul_apply
added
def
Module.Basis.baseChange
added
theorem
Module.Basis.baseChange_apply
added
theorem
Module.Basis.baseChange_repr_tmul
added
def
Module.Basis.tensorProduct
added
theorem
Module.Basis.tensorProduct_apply'
added
theorem
Module.Basis.tensorProduct_apply
added
theorem
Module.Basis.tensorProduct_repr_tmul_apply
Modified
Mathlib/LinearAlgebra/TensorProduct/Matrix.lean
Modified
Mathlib/MeasureTheory/Group/Defs.lean
Modified
Mathlib/MeasureTheory/Integral/Lebesgue/Basic.lean
Modified
Mathlib/MeasureTheory/Measure/Haar/OfBasis.lean
deleted
theorem
Basis.addHaar_eq_iff
deleted
theorem
Basis.addHaar_reindex
deleted
theorem
Basis.addHaar_self
deleted
theorem
Basis.coe_parallelepiped
deleted
def
Basis.parallelepiped
deleted
theorem
Basis.parallelepiped_map
deleted
theorem
Basis.parallelepiped_reindex
deleted
theorem
Basis.prod_addHaar
deleted
theorem
Basis.prod_parallelepiped
added
theorem
Module.Basis.addHaar_eq_iff
added
theorem
Module.Basis.addHaar_reindex
added
theorem
Module.Basis.addHaar_self
added
theorem
Module.Basis.coe_parallelepiped
added
def
Module.Basis.parallelepiped
added
theorem
Module.Basis.parallelepiped_map
added
theorem
Module.Basis.parallelepiped_reindex
added
theorem
Module.Basis.prod_addHaar
added
theorem
Module.Basis.prod_parallelepiped
Modified
Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean
Modified
Mathlib/MeasureTheory/Measure/Lebesgue/Complex.lean
Modified
Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean
deleted
theorem
Basis.map_addHaar
deleted
theorem
Basis.parallelepiped_basisFun
deleted
theorem
Basis.parallelepiped_eq_map
added
theorem
Module.Basis.map_addHaar
added
theorem
Module.Basis.parallelepiped_basisFun
added
theorem
Module.Basis.parallelepiped_eq_map
Modified
Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean
Modified
Mathlib/MeasureTheory/OuterMeasure/Defs.lean
Modified
Mathlib/MeasureTheory/OuterMeasure/OfFunction.lean
Modified
Mathlib/NumberTheory/ClassNumber/Finite.lean
Modified
Mathlib/NumberTheory/Cyclotomic/Rat.lean
Modified
Mathlib/NumberTheory/NumberField/CanonicalEmbedding/Basic.lean
Modified
Mathlib/NumberTheory/NumberField/CanonicalEmbedding/FundamentalCone.lean
Modified
Mathlib/NumberTheory/NumberField/CanonicalEmbedding/NormLeOne.lean
Modified
Mathlib/NumberTheory/NumberField/Discriminant/Defs.lean
Modified
Mathlib/NumberTheory/NumberField/Discriminant/Different.lean
Modified
Mathlib/NumberTheory/NumberField/Units/DirichletTheorem.lean
Modified
Mathlib/RepresentationTheory/Basic.lean
Modified
Mathlib/RepresentationTheory/Tannaka.lean
Modified
Mathlib/RingTheory/Adjoin/Basic.lean
Modified
Mathlib/RingTheory/Adjoin/PowerBasis.lean
Modified
Mathlib/RingTheory/AdjoinRoot.lean
Modified
Mathlib/RingTheory/AlgebraTower.lean
deleted
theorem
Basis.algebraMapCoeffs_apply
deleted
theorem
Basis.algebraMapCoeffs_repr
deleted
theorem
Basis.algebraMap_injective
deleted
theorem
Basis.coe_algebraMapCoeffs
deleted
theorem
Basis.isScalarTower_finsupp
deleted
theorem
Basis.isScalarTower_of_nonempty
deleted
theorem
Basis.smulTower'_apply
deleted
theorem
Basis.smulTower'_repr
deleted
theorem
Basis.smulTower'_repr_mk
deleted
def
Basis.smulTower
deleted
theorem
Basis.smulTower_apply
deleted
theorem
Basis.smulTower_repr
deleted
theorem
Basis.smulTower_repr_mk
added
theorem
Module.Basis.algebraMapCoeffs_apply
added
theorem
Module.Basis.algebraMapCoeffs_repr
added
theorem
Module.Basis.algebraMap_injective
added
theorem
Module.Basis.coe_algebraMapCoeffs
added
theorem
Module.Basis.isScalarTower_finsupp
added
theorem
Module.Basis.isScalarTower_of_nonempty
added
theorem
Module.Basis.smulTower'_apply
added
theorem
Module.Basis.smulTower'_repr
added
theorem
Module.Basis.smulTower'_repr_mk
added
def
Module.Basis.smulTower
added
theorem
Module.Basis.smulTower_apply
added
theorem
Module.Basis.smulTower_repr
added
theorem
Module.Basis.smulTower_repr_mk
Modified
Mathlib/RingTheory/DedekindDomain/Different.lean
Modified
Mathlib/RingTheory/DedekindDomain/IntegralClosure.lean
Modified
Mathlib/RingTheory/Extension/Cotangent/Basic.lean
Modified
Mathlib/RingTheory/Finiteness/Basic.lean
Modified
Mathlib/RingTheory/Finiteness/Defs.lean
Modified
Mathlib/RingTheory/FractionalIdeal/Norm.lean
Modified
Mathlib/RingTheory/Ideal/Basis.lean
Modified
Mathlib/RingTheory/Ideal/Maps.lean
Modified
Mathlib/RingTheory/Ideal/Norm/AbsNorm.lean
Modified
Mathlib/RingTheory/Ideal/Operations.lean
Modified
Mathlib/RingTheory/IsAdjoinRoot.lean
Modified
Mathlib/RingTheory/Kaehler/JacobiZariski.lean
Modified
Mathlib/RingTheory/Kaehler/Polynomial.lean
Modified
Mathlib/RingTheory/LinearDisjoint.lean
Modified
Mathlib/RingTheory/LocalRing/Module.lean
Modified
Mathlib/RingTheory/Localization/Module.lean
deleted
theorem
Basis.localizationLocalization_apply
deleted
theorem
Basis.localizationLocalization_repr_algebraMap
deleted
theorem
Basis.localizationLocalization_span
deleted
theorem
Basis.ofIsLocalizedModule_apply
deleted
theorem
Basis.ofIsLocalizedModule_repr_apply
deleted
theorem
Basis.ofIsLocalizedModule_span
added
theorem
Module.Basis.localizationLocalization_apply
added
theorem
Module.Basis.localizationLocalization_repr_algebraMap
added
theorem
Module.Basis.localizationLocalization_span
added
theorem
Module.Basis.ofIsLocalizedModule_apply
added
theorem
Module.Basis.ofIsLocalizedModule_repr_apply
added
theorem
Module.Basis.ofIsLocalizedModule_span
Modified
Mathlib/RingTheory/Localization/NormTrace.lean
Modified
Mathlib/RingTheory/MvPolynomial/Basic.lean
Modified
Mathlib/RingTheory/Nilpotent/Lemmas.lean
Modified
Mathlib/RingTheory/NormTrace.lean
Modified
Mathlib/RingTheory/Polynomial/DegreeLT.lean
Modified
Mathlib/RingTheory/PowerBasis.lean
Modified
Mathlib/RingTheory/Smooth/StandardSmooth.lean
Modified
Mathlib/RingTheory/Smooth/StandardSmoothCotangent.lean
Modified
Mathlib/RingTheory/TensorProduct/Free.lean
deleted
theorem
Basis.baseChange_end
deleted
theorem
Basis.baseChange_linearMap
added
theorem
Module.Basis.baseChange_end
added
theorem
Module.Basis.baseChange_linearMap
Modified
Mathlib/RingTheory/Trace/Quotient.lean
Modified
Mathlib/RingTheory/Unramified/Field.lean
Modified
Mathlib/RingTheory/Unramified/Finite.lean
Modified
Mathlib/Topology/Algebra/Algebra.lean
Modified
Mathlib/Topology/Algebra/MetricSpace/Lipschitz.lean
Modified
Mathlib/Topology/Algebra/Module/FiniteDimension.lean
deleted
theorem
Basis.coe_constrL
deleted
def
Basis.constrL
deleted
theorem
Basis.constrL_apply
deleted
theorem
Basis.constrL_basis
deleted
def
Basis.equivFunL
deleted
theorem
Basis.equivFunL_symm_apply_repr
added
theorem
Module.Basis.coe_constrL
added
def
Module.Basis.constrL
added
theorem
Module.Basis.constrL_apply
added
theorem
Module.Basis.constrL_basis
added
def
Module.Basis.equivFunL
added
theorem
Module.Basis.equivFunL_symm_apply_repr
Modified
Mathlib/Topology/Category/Profinite/Nobeling/Induction.lean
Modified
Mathlib/Topology/MetricSpace/Bounded.lean
Modified
Mathlib/Topology/MetricSpace/Lipschitz.lean
Modified
docs/overview.yaml
Modified
docs/undergrad.yaml