Theorems · Theorem · group theory
MonoidHom.restrictHomKerEquiv_symm_coe_apply
Deprecated since 2026-07-19Use MonoidHom.domRestrictHomKerEquiv_symm_coe_apply instead.
∀ {G : Type u} [inst : Group G] (A : Type u_1) [inst_1 : CommGroup A] (H : Subgroup G) [inst_2 : H.Normal]
(f : G ⧸ H →* A) (g : G), ↑((MonoidHom.domRestrictHomKerEquiv A H).symm f) g = f ↑gAlias of MonoidHom.domRestrictHomKerEquiv_symm_coe_apply.
- Defined in
- Mathlib.GroupTheory.QuotientGroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
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 · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- MulEquivstatement · cited by 1,142
- CommGroupstatement · cited by 990
- MulEquiv.symmstatement · cited by 482
- Subgroup.Normalstatement · cited by 334
- MonoidHom.kerstatement · cited by 212
- QuotientGroup.mkstatement · cited by 196
- MonoidHom.domRestrictHomstatement · cited by 12
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