Theorems · Theorem · nonassociative algebras

LieSubalgebra.equivMapOfInjective_invFun_coe

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {L₂ : Type w}
  [inst_3 : LieRing L₂] [inst_4 : LieAlgebra R L₂] (f : L →ₗ⁅R⁆ L₂) (K : LieSubalgebra R L) (hf : Function.Injective ⇑f)
  (a : ↥(Submodule.map (↑f) K.toSubmodule)), ↑((LieSubalgebra.equivMapOfInjective f K hf).invFun a) = Classical.choose ⋯

Defined in

Mathlib.Algebra.Lie.Subalgebra

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebra