Mathlib Map

Theorems · Theorem · group theory

MulEquiv.coe_mapSubgroup

∀ {G : Type u_1} [inst : Group G] {H : Type u_5} [inst_1 : Group H] (e : G ≃* H),
  ⇑e.mapSubgroup = Subgroup.map e.toMonoidHom
Defined in
Mathlib.Algebra.Group.Subgroup.Map
Cited by
1 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MulChar.mem_subgroupOrderIsoSubgroupMulChar_iff · cited by 0MulChar.mem_subgroupOrder…DFunLike.coe · cited by 62936DFunLike.coeGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupMulEquiv · cited by 1142MulEquivOrderIso · cited by 874OrderIsoSubgroup.map · cited by 301Subgroup.mapMulEquiv.toMonoidHom · cited by 126MulEquiv.toMonoidHomMulEquiv.mapSubgroup · cited by 11MulEquiv.mapSubgroupMulEquiv.coe_mapSubgroupCITED BYCITES

Cites8

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Cited by1

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