Theorems · Theorem · linear algebra
Matrix.emptyRows_isTotallyUnimodular
∀ {m : Type u_1} {n : Type u_3} {R : Type u_5} [inst : CommRing R] [IsEmpty m] (A : Matrix m n R), A.IsTotallyUnimodularIf A has no rows, then it is totally unimodular.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Matrixstatement and proof · cited by 4,303
- IsEmptystatement and proof · cited by 759
- Matrix.detproof · cited by 665
- SignType.castproof · cited by 76
- IsEmpty.falseproof · cited by 24
- Matrix.IsTotallyUnimodularstatement · cited by 22
- Matrix.det_fin_zeroproof · cited by 5
- Matrix.submatrix_emptyproof · cited by 4
- SignType.coe_oneproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.emptyCols_isTotallyUnimodularproof · cited by 0