Theorems · Theorem · group theory
groupCohomology_induction_on
∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] {A : Rep.{u, u, u} k G} {n : ℕ}
{C : ↑(groupCohomology A n) → Prop} (x : ↑(groupCohomology A n)),
(∀ (x : ↑(groupCohomology.cocycles A n)), C ((CategoryTheory.ConcreteCategory.hom (groupCohomology.π A n)) x)) → C x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Groupstatement and proof · cited by 6,238
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- ModuleCatstatement · cited by 1,429
- ModuleCat.carrierstatement and proof · cited by 997
- Repstatement and proof · cited by 843
- groupCohomology.cocyclesstatement and proof · cited by 63
- groupCohomologystatement and proof · cited by 60
- groupCohomology.πstatement and proof · cited by 25
Cited by2
Results whose statement or proof uses this declaration.
- groupCohomology.H1_induction_onproof · cited by 1
- groupCohomology.H2_induction_onproof · cited by 0