Theorems · Theorem · group theory
groupHomology_induction_on
∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] {A : Rep.{u, u, u} k G} {n : ℕ}
{C : ↑(groupHomology A n) → Prop} (x : ↑(groupHomology A n)),
(∀ (x : ↑(groupHomology.cycles A n)), C ((CategoryTheory.ConcreteCategory.hom (groupHomology.π A n)) x)) → C x- Cited by
- 3 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
- groupHomology.cyclesstatement and proof · cited by 66
- groupHomologystatement and proof · cited by 59
- groupHomology.πstatement and proof · cited by 29
Cited by3
Results whose statement or proof uses this declaration.
- groupHomology.H1_induction_onproof · cited by 2
- groupHomology.H0_induction_onproof · cited by 0
- groupHomology.H2_induction_onproof · cited by 0