Theorems · Theorem · linear algebra
Matrix.inv_diagonal
∀ {n : Type u'} {α : Type v} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing α] (v : n → α),
(Matrix.diagonal v)⁻¹ = Matrix.diagonal (Ring.inverse v)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 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.
Cites17
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
- Invertibleproof · cited by 549
- Iff.notproof · cited by 489
- Matrix.diagonalstatement and proof · cited by 314
- Invertible.invOfproof · cited by 268
- Ring.inversestatement and proof · cited by 160
- Ring.inverse_non_unitproof · cited by 26
- IsUnit.nonempty_invertibleproof · cited by 16
- Ring.inverse_invertibleproof · cited by 11
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