Theorems · Theorem · linear algebra
Matrix.IsTotallyUnimodular.apply
∀ {m : Type u_1} {n : Type u_3} {R : Type u_5} [inst : CommRing R] {A : Matrix m n R},
A.IsTotallyUnimodular → ∀ (i : m) (j : n), A i j ∈ Set.range SignType.cast- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Set.rangestatement and proof · cited by 4,705
- Matrixstatement and proof · cited by 4,303
- SignTypestatement · cited by 318
- Matrix.submatrixproof · cited by 183
- SignType.caststatement and proof · cited by 76
- Matrix.IsTotallyUnimodularstatement and proof · cited by 22
- Matrix.det_uniqueproof · cited by 15
- Matrix.isTotallyUnimodular_iffproof · cited by 3
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