Theorems · Theorem · group theory
MonoidHom.domRestrictHomKerEquiv_apply_coe
∀ {G : Type u} [inst : Group G] (A : Type u_1) [inst_1 : CommGroup A] (H : Subgroup G) [inst_2 : H.Normal]
(f : ↥(MonoidHom.domRestrictHom H A).ker) (g : G), ((MonoidHom.domRestrictHomKerEquiv A H) f) ↑g = ↑f g- Defined in
- Mathlib.GroupTheory.QuotientGroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- MulEquivstatement · cited by 1,142
- CommGroupstatement and proof · cited by 990
- Subgroup.Normalstatement and proof · cited by 334
- MonoidHom.kerstatement and proof · cited by 212
- QuotientGroup.mkstatement · cited by 196
- MonoidHom.domRestrictHomstatement and proof · cited by 12
- MonoidHom.domRestrictHomKerEquivstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- MonoidHom.restrictHomKerEquiv_apply_coeproof · cited by 0