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Theorems · Theorem · linear algebra

Matrix.fromRows_one_isTotallyUnimodular_iff

∀ {m : Type u_1} {n : Type u_3} {R : Type u_5} [inst : CommRing R] [inst_1 : DecidableEq n] (A : Matrix m n R),
  (A.fromRows 1).IsTotallyUnimodular ↔ A.IsTotallyUnimodular
Defined in
Mathlib.LinearAlgebra.Matrix.Determinant.TotallyUnimodular
Cited by
3 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingDecidableEq
Mathlib docsSourceLoogleLeanSearch

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…Matrix.fromCols_one_isTotallyUnimodular_iff · cited by 1Matrix.fromCols_one_isTot…Matrix.IsTotallyUnimodular.fromRows_one · cited by 0IsTotallyUnimodular.fromR…CommRing · cited by 17173CommRingMatrix · cited by 4303MatrixPi.single_apply · cited by 78Pi.single_applyMatrix.fromRows · cited by 35Matrix.fromRowsMatrix.IsTotallyUnimodular · cited by 22Matrix.IsTotallyUnimodularMatrix.fromRows_isTotallyUnimodular_iff_rows · cited by 2Matrix.fromRows_isTotally…Matrix.fromRows_one_isTotally…CITED BYCITES

Cites6

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Cited by3

Results whose statement or proof uses this declaration.