Theorems · Theorem · linear algebra
Matrix.mul_inv_rev
∀ {n : Type u'} {α : Type v} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing α] (A B : Matrix n n α),
(A * B)⁻¹ = B⁻¹ * A⁻¹- Cited by
- 4 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEqCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Matrix.detproof · cited by 665
- smul_smulproof · cited by 360
- Ring.inverseproof · cited by 160
- Matrix.adjugateproof · cited by 64
- Matrix.det_mulproof · cited by 51
- Matrix.mul_smulproof · cited by 14
- Matrix.smul_mulproof · cited by 11
- Matrix.adjugate_mul_distribproof · cited by 3
- Ring.mul_inverse_revproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Matrix.inv_pow'proof · cited by 6
- Matrix.zpow_add_oneproof · cited by 3
- SymplecticGroup.transpose_memproof · cited by 2
- Matrix.Commute.mul_zpowproof · cited by 0