Theorems · Theorem · nonassociative algebras

LieModule.Cohomology.mem_twoCocycle_iff

∀ (R : Type u_1) [inst : CommRing R] (L : Type u_2) [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (M : Type u_3)
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : LieRingModule L M] [inst_6 : LieModule R L M]
  (a : ↥(LieModule.Cohomology.twoCochain R L M)),
  a ∈ LieModule.Cohomology.twoCocycle R L M ↔ (LieModule.Cohomology.d₂₃ R L M) a = 0

Defined in

Mathlib.Algebra.Lie.Cochain

Cited by

1 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule