Theorems · Theorem · linear algebra
Matrix.inv_mul_cancel_right_of_invertible
∀ {m : Type u} {n : Type u'} {α : Type v} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing α]
(A : Matrix n n α) (B : Matrix m n α) [Invertible A], B * A⁻¹ * A = B- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Invertiblestatement and proof · cited by 549
- Matrix.isUnit_det_of_invertibleproof · cited by 6
- Matrix.nonsing_inv_mul_cancel_rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.mul_inv_eq_iff_eq_mul_of_invertibleproof · cited by 1