Theorems · Theorem · nonassociative algebras

LieModule.Cohomology.twoCochain_skew

∀ {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] (a : ↥(LieModule.Cohomology.twoCochain R L M)) (x y : L),
  -(a x) y = (a y) x

Defined in

Mathlib.Algebra.Lie.Cochain

Cited by

1 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingLieAlgebraAddCommGroupModule