Theorems · Theorem · nonassociative algebras
Matrix.lieConj_apply
∀ {R : Type u} [inst : CommRing R] {n : Type w} [inst_1 : DecidableEq n] [inst_2 : Fintype n] (P A : Matrix n n R)
(h : Invertible P), (P.lieConj h) A = P * A * P⁻¹- Defined in
- Mathlib.Algebra.Lie.Matrix
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingDecidableEqFintype
Around this declaration
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- LinearMap.compproof · cited by 1,642
- LinearEquiv.symmproof · cited by 1,461
- LinearEquiv.toLinearMapproof · cited by 1,171
- Invertiblestatement and proof · cited by 549
- LieRing.ofAssociativeRingstatement · cited by 227
- LinearMap.comp.congr_simpproof · cited by 209
- Matrix.toLin'proof · cited by 86
- LieEquivstatement · cited by 86
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