Theorems · Theorem · linear algebra

Matrix.isTotallyUnimodular_iff

∀ {m : Type u_1} {n : Type u_3} {R : Type u_5} [inst : CommRing R] (A : Matrix m n R),
  A.IsTotallyUnimodular ↔ ∀ (k : ℕ) (f : Fin k → m) (g : Fin k → n), (A.submatrix f g).det ∈ Set.range SignType.cast

Defined in

Mathlib.LinearAlgebra.Matrix.Determinant.TotallyUnimodular

Cited by

3 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRing