Theorems · Theorem · group theory
MulEquiv.mapSubgroup_symm_apply
∀ {G : Type u_1} [inst : Group G] {H : Type u_6} [inst_1 : Group H] (f : G ≃* H) (H_1 : Subgroup H),
(RelIso.symm f.mapSubgroup) H_1 = Subgroup.map (↑f.symm) H_1- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.symmstatement · cited by 482
- RelIsostatement · cited by 456
- Subgroup.mapstatement · cited by 301
- MonoidHomClass.toMonoidHomstatement · cited by 294
- RelIso.symmstatement and proof · cited by 193
- MulEquiv.mapSubgroupstatement and proof · cited by 11
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