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

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 def Basis.constr
deleted theorem Basis.constr_apply
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 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.range_reindex
deleted def Basis.reindex
deleted def Basis.reindexRange
deleted theorem Basis.reindexRange_apply
deleted theorem Basis.reindexRange_repr'
deleted theorem Basis.reindexRange_repr
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_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.sumCoords_reindex
deleted theorem Basis.sum_equivFun
deleted theorem Basis.sum_repr
deleted theorem Basis.sum_repr_mul_repr
deleted structure Basis
added theorem Module.Basis.coe_map
added theorem Module.Basis.constr_eq
added theorem Module.Basis.ext'
added theorem Module.Basis.ext
added theorem Module.Basis.map_apply
added theorem Module.Basis.map_equiv
added theorem Module.Basis.repr_self
added theorem Module.Basis.sum_repr
added structure Module.Basis
modified theorem Module.card_fintype
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_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.mem_toFlag
deleted theorem Basis.self_mem_flag
deleted theorem Basis.self_mem_flag_iff
deleted def Basis.toFlag
added theorem Module.Basis.flag_last
added theorem Module.Basis.flag_mono
added theorem Module.Basis.flag_succ
added theorem Module.Basis.flag_zero
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.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 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_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_inv
added theorem Module.Basis.det_map'
added theorem Module.Basis.det_map
added theorem Module.Basis.det_self
added theorem Module.Basis.smul_det
deleted theorem is_basis_iff_det
deleted theorem Basis.coe_dualBasis
deleted theorem Basis.coe_toDual_self
deleted def Basis.dualBasis
deleted theorem Basis.dualBasis_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 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_range
deleted theorem Basis.toDual_toDual
added theorem Module.Basis.eval_ker
deleted theorem Basis.toLin_toMatrix
deleted def Basis.toMatrix
deleted def Basis.toMatrixEquiv
deleted theorem Basis.toMatrix_apply
deleted theorem Basis.toMatrix_isUnitSMul
deleted theorem Basis.toMatrix_map
deleted theorem Basis.toMatrix_map_vecMul
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_unitsSMul
deleted theorem Basis.toMatrix_update
deleted theorem Basis.orientation_isEmpty
deleted theorem Basis.orientation_map
deleted theorem Basis.orientation_reindex