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Theorems · Definition · group theory

AddSubsemigroup.ofClass

{S : Type u_3} → {M : Type u_4} → [inst : Add M] → [inst_1 : SetLike S M] → [AddMemClass S M] → S → AddSubsemigroup M

The actual AddSubsemigroup obtained from an element of a AddMemClass

Defined in
Mathlib.Algebra.Group.Subsemigroup.Defs
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
AddSetLikeAddMemClass
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Around this declaration

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

AddSubsemigroup.coe_ofClass · cited by 0AddSubsemigroup.coe_ofCla…SetLike.coe · cited by 8199SetLike.coeSetLike · cited by 1084SetLikeAddSubsemigroup · cited by 262AddSubsemigroupAddMemClass.add_mem · cited by 229AddMemClass.add_memAddMemClass · cited by 17AddMemClassAddSubsemigroup.ofClassCITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.