Theorems · Theorem · linear algebra
Matrix.Nonsingular.of_rightRegular
∀ {R : Type u_1} {n : Type u_3} [inst : CommSemiring R] [inst_1 : Fintype n] [inst_2 : DecidableEq n]
{A : Matrix n n R}, IsRightRegular A → A.Nonsingular- Defined in
- Mathlib.LinearAlgebra.Matrix.Nonsingular
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- IsRightRegularstatement and proof · cited by 93
- Matrix.Nonsingularstatement · cited by 27
- Matrix.vecMul_injective_iffproof · cited by 4
- Matrix.isRightRegular_iff_vecMul_injectiveproof · cited by 3
- Matrix.Nonsingular.of_linearIndependent_rowproof · cited by 2
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