Mathlib Changelog
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2024-08-10 03:36
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chore: split LinearAlgebra.Basis (
#15639
)
Estimated changes
Modified
Mathlib.lean
Modified
Mathlib/Algebra/DirectSum/Module.lean
Modified
Mathlib/Algebra/Polynomial/Roots.lean
Modified
Mathlib/Analysis/Normed/Operator/LinearIsometry.lean
Modified
Mathlib/LinearAlgebra/AffineSpace/Basis.lean
Modified
Mathlib/LinearAlgebra/Alternating/Basic.lean
Created
Mathlib/LinearAlgebra/Basis/Basic.lean
added
theorem
Basis.basis_singleton_iff
added
theorem
Basis.coe_finTwoProd_repr
added
theorem
Basis.coe_mk
added
theorem
Basis.coe_mkFinCons
added
theorem
Basis.coe_mkFinConsOfLE
added
theorem
Basis.coe_sumCoords_eq_finsum
added
theorem
Basis.coord_unitsSMul
added
theorem
Basis.eq_bot_of_rank_eq_zero
added
theorem
Basis.finTwoProd_one
added
theorem
Basis.finTwoProd_zero
added
def
Basis.groupSMul
added
theorem
Basis.groupSMul_apply
added
theorem
Basis.groupSMul_span_eq_top
added
def
Basis.isUnitSMul
added
theorem
Basis.isUnitSMul_apply
added
theorem
Basis.maximal
added
theorem
Basis.mem_center_iff
added
theorem
Basis.mem_span_iff_repr_mem
added
theorem
Basis.mk_apply
added
theorem
Basis.mk_coord_apply
added
theorem
Basis.mk_coord_apply_eq
added
theorem
Basis.mk_coord_apply_ne
added
theorem
Basis.mk_repr
added
theorem
Basis.prod_apply
added
theorem
Basis.prod_apply_inl_fst
added
theorem
Basis.prod_apply_inl_snd
added
theorem
Basis.prod_apply_inr_fst
added
theorem
Basis.prod_apply_inr_snd
added
theorem
Basis.prod_repr_inl
added
theorem
Basis.prod_repr_inr
added
theorem
Basis.repr_unitsSMul
added
theorem
Basis.restrictScalars_apply
added
theorem
Basis.restrictScalars_repr_apply
added
def
Basis.unitsSMul
added
theorem
Basis.unitsSMul_apply
added
theorem
Basis.units_smul_span_eq_top
added
def
Submodule.inductionOnRankAux
Modified
Mathlib/LinearAlgebra/Basis/Bilinear.lean
Created
Mathlib/LinearAlgebra/Basis/Cardinality.lean
added
theorem
basis_finite_of_finite_spans
added
theorem
infinite_basis_le_maximal_linearIndependent'
added
theorem
infinite_basis_le_maximal_linearIndependent
added
theorem
union_support_maximal_linearIndependent_eq_range_basis
Renamed
Mathlib/LinearAlgebra/Basis.lean
to
Mathlib/LinearAlgebra/Basis/Defs.lean
deleted
theorem
Basis.basis_singleton_iff
deleted
theorem
Basis.coe_finTwoProd_repr
deleted
theorem
Basis.coe_mk
deleted
theorem
Basis.coe_mkFinCons
deleted
theorem
Basis.coe_mkFinConsOfLE
deleted
theorem
Basis.coe_sumCoords_eq_finsum
deleted
theorem
Basis.coord_unitsSMul
deleted
theorem
Basis.eq_bot_of_rank_eq_zero
deleted
theorem
Basis.finTwoProd_one
deleted
theorem
Basis.finTwoProd_zero
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.maximal
deleted
theorem
Basis.mem_center_iff
deleted
theorem
Basis.mem_span_iff_repr_mem
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.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
deleted
theorem
Basis.repr_unitsSMul
deleted
theorem
Basis.restrictScalars_apply
deleted
theorem
Basis.restrictScalars_repr_apply
deleted
def
Basis.unitsSMul
deleted
theorem
Basis.unitsSMul_apply
deleted
theorem
Basis.units_smul_span_eq_top
deleted
def
Submodule.inductionOnRankAux
deleted
theorem
basis_finite_of_finite_spans
deleted
theorem
infinite_basis_le_maximal_linearIndependent'
deleted
theorem
infinite_basis_le_maximal_linearIndependent
deleted
theorem
union_support_maximal_linearIndependent_eq_range_basis
Modified
Mathlib/LinearAlgebra/Basis/Flag.lean
Modified
Mathlib/LinearAlgebra/Basis/VectorSpace.lean
Modified
Mathlib/LinearAlgebra/BilinearForm/Hom.lean
Modified
Mathlib/LinearAlgebra/FreeAlgebra.lean
Modified
Mathlib/LinearAlgebra/FreeModule/Basic.lean
Modified
Mathlib/LinearAlgebra/Matrix/DotProduct.lean
Modified
Mathlib/LinearAlgebra/Multilinear/Basis.lean
Modified
Mathlib/LinearAlgebra/SesquilinearForm.lean
Modified
Mathlib/LinearAlgebra/StdBasis.lean
Modified
Mathlib/RingTheory/Adjoin/Basic.lean
Modified
Mathlib/RingTheory/AlgebraTower.lean
Modified
Mathlib/RingTheory/Finiteness.lean
Modified
Mathlib/RingTheory/Ideal/Basis.lean
Modified
Mathlib/RingTheory/Localization/Module.lean
Modified
Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean