Theorems · Theorem · linear algebra
Matrix.inv_inv_inv
∀ {n : Type u'} {α : Type v} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing α] (A : Matrix n n α),
A⁻¹⁻¹⁻¹ = A⁻¹- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEqCommRing
Around this declaration
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Cites8
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
- IsUnitproof · cited by 1,602
- Matrix.detproof · cited by 665
- Matrix.nonsing_inv_apply_not_isUnitproof · cited by 7
- Matrix.nonsing_inv_nonsing_invproof · cited by 3
- Matrix.inv_zeroproof · cited by 2
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