Theorems · Theorem · group theory
AddEquiv.addSubgroupMap_symm_apply
∀ {G : Type u_1} {G' : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup G'] (e : G ≃+ G') (H : AddSubgroup G)
(g : ↥(AddSubgroup.map (↑e) H)), (e.addSubgroupMap 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
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- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Equivstatement · cited by 8,337
- SetLike.coestatement · cited by 8,199
- Set.imagestatement · cited by 5,609
- AddGroupstatement and proof · cited by 4,410
- Equiv.symmstatement · cited by 3,681
- AddSubgroupstatement and proof · cited by 3,232
- AddEquivstatement and proof · cited by 1,087
- AddEquiv.symmstatement · cited by 530
- SetLike.mem_coestatement · cited by 302
- AddMonoidHomClass.toAddMonoidHomstatement and proof · cited by 232
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