Theorems · Theorem · linear algebra
Matrix.isLeftRegular_iff_isRightRegular
∀ {R : Type u_1} {n : Type u_3} [inst : CommSemiring R] [inst_1 : Fintype n] {A : Matrix n n R} [IsCancelAdd R],
IsLeftRegular A ↔ IsRightRegular A- Defined in
- Mathlib.LinearAlgebra.Matrix.Nonsingular
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- IsLeftRegularstatement · cited by 97
- IsRightRegularstatement and proof · cited by 93
- IsCancelAddstatement and proof · cited by 79
- Matrix.Nonsingularproof · cited by 27
- Matrix.isLeftRegular_iff_nonsingularproof · cited by 3
- Matrix.isRightRegular_iff_nonsingularproof · cited by 2
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