Theorems · Theorem · linear algebra
Matrix.det_ne_zero_of_right_inverse
∀ {n : Type u'} {α : Type v} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing α] {A B : Matrix n n α}
[Nontrivial α], A * B = 1 → A.det ≠ 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Nontrivialstatement and proof · cited by 2,416
- Matrix.detstatement · cited by 665
- IsUnit.ne_zeroproof · cited by 36
- Matrix.isUnit_det_of_right_inverseproof · cited by 1
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