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Theorems · Theorem · linear algebra

Matrix.reindex_isTotallyUnimodular

∀ {m : Type u_1} {m' : Type u_2} {n : Type u_3} {n' : Type u_4} {R : Type u_5} [inst : CommRing R] (A : Matrix m n R)
  (em : m ≃ m') (en : n ≃ n'), ((Matrix.reindex em en) A).IsTotallyUnimodular ↔ A.IsTotallyUnimodular
Defined in
Mathlib.LinearAlgebra.Matrix.Determinant.TotallyUnimodular
Cited by
1 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
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Around this declaration

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

Matrix.one_fromRows_isTotallyUnimodular_iff · cited by 2Matrix.one_fromRows_isTot…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingEquiv · cited by 8337EquivMatrix · cited by 4303MatrixEquiv.symm · cited by 3681Equiv.symmMatrix.submatrix · cited by 183Matrix.submatrixMatrix.reindex · cited by 102Matrix.reindexEquiv.symm_comp_self · cited by 28Equiv.symm_comp_selfMatrix.submatrix_submatrix · cited by 24Matrix.submatrix_submatrixMatrix.submatrix_id_id · cited by 22Matrix.submatrix_id_idMatrix.IsTotallyUnimodular · cited by 22Matrix.IsTotallyUnimodularMatrix.IsTotallyUnimodular.reindex · cited by 1IsTotallyUnimodular.reind…Matrix.reindex_isTotallyUnimo…CITED BYCITES

Cites12

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Cited by1

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