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Theorems · Theorem · linear algebra

coe_basisOfPiSpaceOfLinearIndependent

∀ {K : Type u} [inst : DivisionRing K] {ι : Type u_1} [inst_1 : Fintype ι] {b : ι → ι → K} (hb : LinearIndependent K b),
  ⇑(basisOfPiSpaceOfLinearIndependent hb) = b
Defined in
Mathlib.LinearAlgebra.FiniteDimensional.Lemmas
Cited by
2 results in Mathlib
Foundations
Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionRingFintype
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NumberField.canonicalEmbedding.latticeBasis_apply · cited by 7canonicalEmbedding.lattic…NumberField.Units.basisOfIsMaxRank_apply · cited by 3Units.basisOfIsMaxRank_ap…DFunLike.coe · cited by 62936DFunLike.coeFintype · cited by 7736FintypeModule.Basis · cited by 1477Module.BasisDivisionRing · cited by 1062DivisionRingLinearIndependent · cited by 560LinearIndependentIsEmpty.false · cited by 24IsEmpty.falsecoe_basisOfLinearIndependentOfCardEqFinrank · cited by 12coe_basisOfLinearIndepend…basisOfPiSpaceOfLinearIndependent · cited by 4basisOfPiSpaceOfLinearInd…coe_basisOfPiSpaceOfLinearInd…CITED BYCITES

Cites8

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Cited by2

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