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Theorems · Theorem · linear algebra

Matrix.separatingLeft_iff_separatingRight

∀ {n : Type u_1} {A : Type u_4} [inst : CommRing A] [IsDomain A] {M : Matrix n n A} [inst_2 : Finite n],
  M.SeparatingLeft ↔ M.SeparatingRight
Defined in
Mathlib.LinearAlgebra.Matrix.ToLinearEquiv
Cited by
2 results in Mathlib
Foundations
Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsDomainFinite
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Around this declaration

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Matrix.SeparatingLeft.separatingRight · cited by 0SeparatingLeft.separating…Matrix.SeparatingRight.separatingLeft · cited by 0SeparatingRight.separatin…CommRing · cited by 17173CommRingMatrix · cited by 4303MatrixFinite · cited by 3029FiniteIsDomain · cited by 2196IsDomainMatrix.SeparatingRight · cited by 35Matrix.SeparatingRightMatrix.SeparatingLeft · cited by 33Matrix.SeparatingLeftMatrix.nondegenerate_iff_separatingLeft · cited by 2Matrix.nondegenerate_iff_…Matrix.nondegenerate_iff_separatingRight · cited by 2Matrix.nondegenerate_iff_…Matrix.separatingLeft_iff_sep…CITED BYCITES

Cites8

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Cited by2

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