Mathlib Map

Theorems · Definition · group theory

AddSubgroupClass.subtype

{G : Type u_1} →
  [inst : AddGroup G] → {S : Type u_4} → (H : S) → [inst_1 : SetLike S G] → [inst_2 : AddSubgroupClass S G] → ↥H →+ G

The natural group hom from an additive subgroup of AddGroup G to G.

Defined in
Mathlib.Algebra.Group.Subgroup.Defs
Cited by
4 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext
Assumes
AddGroupSetLikeAddSubgroupClass
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Around this declaration

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

NonUnitalSubringClass.subtype · cited by 6NonUnitalSubringClass.sub…SubringClass.subtype · cited by 3SubringClass.subtypeAddSubgroupClass.coe_subtype · cited by 0AddSubgroupClass.coe_subt…AddSubgroupClass.subtype_apply · cited by 0AddSubgroupClass.subtype_…AddSubgroupClass.subtype_comp_inclusion · cited by 0AddSubgroupClass.subtype_…AddSubgroupClass.subtype_injective · cited by 0AddSubgroupClass.subtype_…AddGroup · cited by 4410AddGroupAddMonoidHom · cited by 3230AddMonoidHomSetLike · cited by 1084SetLikeAddSubgroupClass · cited by 240AddSubgroupClassAddSubgroupClass.subtypeCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.