Theorems · Inductive type · group theory
AddMemClass
(S : Type u_3) → (M : outParam (Type u_4)) → [Add M] → [SetLike S M] → Prop
AddMemClass S M says S is a type of sets s : Set M that are closed under (+)
- Defined in
- Mathlib.Algebra.Group.Subsemigroup.Defs
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLikestatement · cited by 1,084
Cited by26
Results whose statement or proof uses this declaration.
- AddMemClass.add_memstatement and proof · cited by 229
- IsAddCommutative.of_setLike_add_commstatement and proof · cited by 7
- AddMemClass.subtypestatement and proof · cited by 5
- setLike_add_commstatement and proof · cited by 5
- AddMemClass.mk_add_mkstatement and proof · cited by 2
- AddHom.domRestrictstatement and proof · cited by 2
- isAddCommutative_iff_of_setLikestatement and proof · cited by 2
- Set.injOn_iff_map_eq_zerostatement and proof · cited by 1
- AddHom.codRestrictstatement and proof · cited by 1
- AddHom.domRestrict_applystatement and proof · cited by 1
- AddSubsemigroup.ofClassstatement and proof · cited by 1
- AddMemClass.add_defstatement and proof · cited by 0