Theorems · Theorem · group theory

groupCohomology.H2_induction_on

∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] {A : Rep.{u, u, u} k G} {C : ↑(groupCohomology.H2 A) → Prop}
  (x : ↑(groupCohomology.H2 A)),
  (∀ (x : ↥(groupCohomology.cocycles₂ A)), C ((CategoryTheory.ConcreteCategory.hom (groupCohomology.H2π A)) x)) → C x

Defined in

Mathlib.RepresentationTheory.Homological.GroupCohomology.LowDegree

Cited by

0 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroup