Theorems · Theorem · nonassociative algebras

LieEquiv.right_inv

∀ {R : Type u} {L : Type v} {L' : Type w} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  [inst_3 : LieRing L'] [inst_4 : LieAlgebra R L'] (self : L ≃ₗ⁅R⁆ L'),
  Function.RightInverse self.invFun (↑self.toLieHom).toFun

The inverse function of an equivalence of Lie algebras is a right inverse of the underlying function.

Defined in

Mathlib.Algebra.Lie.Basic

Cited by

0 results in Mathlib

Foundations

Depth 14 from the axioms · uses no axioms

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebra