Theorems · Theorem · group theory
MulEquiv.mapSubgroup_apply
∀ {G : Type u_1} [inst : Group G] {H : Type u_6} [inst_1 : Group H] (f : G ≃* H) (H_1 : Subgroup G),
f.mapSubgroup H_1 = Subgroup.map (↑f) H_1- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- RelIsostatement · cited by 456
- Subgroup.mapstatement · cited by 301
- MonoidHomClass.toMonoidHomstatement · cited by 294
- MulEquiv.mapSubgroupstatement and proof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.mem_subgroupGalEquivSubgroupChar_iffproof · cited by 0
- MulChar.mem_subgroupOrderIsoSubgroupMulChar_symm_iffproof · cited by 0
- CommGroup.mem_subgroupOrderIsoSubgroupMonoidHom_iffproof · cited by 0
- IsCyclotomicExtension.Rat.galEquivZMod_stabilizerproof · cited by 0