Theorems · Theorem · nonassociative algebras

LieAlgebra.IsExtension.extension_instLieAlgebra

∀ {R : Type u_1} {N : Type u_2} {L : Type u_3} {M : Type u_4} [inst : CommRing R] [inst_1 : LieRing L]
  [inst_2 : LieAlgebra R L] [inst_3 : LieRing N] [inst_4 : LieAlgebra R N] [inst_5 : LieRing M]
  [inst_6 : LieAlgebra R M] {i : N →ₗ⁅R⁆ L} {p : L →ₗ⁅R⁆ M} (h : LieAlgebra.IsExtension i p),
  h.extension.instLieAlgebra = inst_2

Defined in

Mathlib.Algebra.Lie.Extension

Cited by

0 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

CommRingLieRingLieAlgebraLieRingLieAlgebraLieRingLieAlgebra