Whitehead の第二補題 #
theorem
LieModule.Cohomology.surjOn_d₁₂_twoCocycle_of_hasTrivialRadical
(K : Type u_3)
(L : Type u_1)
(V : Type u_2)
[Field K]
[CharZero K]
[LieRing L]
[LieAlgebra K L]
[AddCommGroup V]
[Module K V]
[LieRingModule L V]
[LieModule K L V]
[FiniteDimensional K L]
[FiniteDimensional K V]
[LieAlgebra.HasTrivialRadical K L]
:
Set.SurjOn (⇑(d₁₂ K L V)) Set.univ ↑(twoCocycle K L V)