Mathlib Map

Theorems · Theorem · linear algebra

Matrix.invOf_diagonal_eq

∀ {n : Type u'} [inst : Fintype n] [inst_1 : DecidableEq n] {α : Type u_2} [inst_2 : Semiring α] (v : n → α)
  [inst_3 : Invertible v] [inst_4 : Invertible (Matrix.diagonal v)], ⅟(Matrix.diagonal v) = Matrix.diagonal ⅟v
Defined in
Mathlib.LinearAlgebra.Matrix.NonsingularInverse
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeDecidableEqSemiringInvertibleInvertible
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.inv_diagonal · cited by 0Matrix.inv_diagonalSemiring · cited by 13802SemiringFintype · cited by 7736FintypeMatrix · cited by 4303MatrixInvertible · cited by 549InvertibleMatrix.diagonal · cited by 314Matrix.diagonalInvertible.invOf · cited by 268Invertible.invOfInvertible.congr · cited by 18Invertible.congrMatrix.invOf_diagonal_eqCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.