Theorems · Theorem · linear algebra
Matrix.one_fromRows_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),
(Matrix.fromRows 1 A).IsTotallyUnimodular ↔ A.IsTotallyUnimodular- Cited by
- 2 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Matrixstatement and proof · cited by 4,303
- Matrix.extproof · cited by 540
- Equiv.reflproof · cited by 274
- Matrix.submatrixproof · cited by 183
- Matrix.reindexproof · cited by 102
- Matrix.fromRowsstatement and proof · cited by 35
- Equiv.sumCommproof · cited by 23
- Matrix.IsTotallyUnimodularstatement and proof · cited by 22
- Equiv.sumComm_applyproof · cited by 17
- Matrix.fromRows_one_isTotallyUnimodular_iffproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.one_fromCols_isTotallyUnimodular_iffproof · cited by 1
- Matrix.IsTotallyUnimodular.one_fromRowsproof · cited by 0