Theorems · Theorem · nonassociative algebras

LieAlgebra.SemiDirectSum.prod_iso_invFun_left

∀ (R : Type u_1) [inst : CommRing R] (K : Type u_2) [inst_1 : LieRing K] [inst_2 : LieAlgebra R K] (L : Type u_3)
  [inst_3 : LieRing L] [inst_4 : LieAlgebra R L] (a : K × L),
  ((LieAlgebra.SemiDirectSum.prod_iso R K L).invFun a).left = a.1

Defined in

Mathlib.Algebra.Lie.SemiDirect

Cited by

0 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebra