Theorems · Theorem · nonassociative algebras

LieHom.mem_range

∀ {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) (x : L₂), x ∈ f.range ↔ ∃ y, f y = x

Defined in

Mathlib.Algebra.Lie.Subalgebra

Cited by

1 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebra