Theorems · Theorem · linear algebra

Matrix.isTotallyUnimodular_iff_fintype

∀ {m : Type u_1} {n : Type u_3} {R : Type u_5} [inst : CommRing R] (A : Matrix m n R),
  A.IsTotallyUnimodular ↔
    ∀ (ι : Type w) [inst_1 : Fintype ι] [inst_2 : DecidableEq ι] (f : ι → m) (g : ι → n),
      (A.submatrix f g).det ∈ Set.range SignType.cast

Defined in

Mathlib.LinearAlgebra.Matrix.Determinant.TotallyUnimodular

Cited by

0 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRing