Theorems · Theorem · nonassociative algebras

LieSubalgebra.mem_comap

∀ {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) (K₂ : LieSubalgebra R L₂) {x : L},
  x ∈ LieSubalgebra.comap f K₂ ↔ f x ∈ K₂

Defined in

Mathlib.Algebra.Lie.Subalgebra

Cited by

0 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebra