Theorems · Theorem · group theory
MulEquiv.subgroupMap_symm_apply
∀ {G : Type u_1} {G' : Type u_2} [inst : Group G] [inst_1 : Group G'] (e : G ≃* G') (H : Subgroup G)
(g : ↥(Subgroup.map (↑e) H)), (e.subgroupMap H).symm g = ⟨e.symm ↑g, ⋯⟩- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Equivstatement · cited by 8,337
- SetLike.coestatement · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Set.imagestatement · cited by 5,609
- Equiv.symmstatement · cited by 3,681
- Subgroupstatement and proof · cited by 3,593
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.symmstatement · cited by 482
- SetLike.mem_coestatement · cited by 302
- Subgroup.mapstatement and proof · cited by 301
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