Theorems · Inductive type · group theory
MulMemClass
(S : Type u_3) → (M : outParam (Type u_4)) → [Mul M] → [SetLike S M] → Prop
MulMemClass 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
- 25 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 by34
Results whose statement or proof uses this declaration.
- MulMemClass.mul_memstatement and proof · cited by 173
- IsMulCommutative.of_setLike_mul_commstatement and proof · cited by 16
- setLike_mul_commstatement and proof · cited by 6
- MulMemClass.subtypestatement and proof · cited by 5
- MulHom.domRestrictstatement and proof · cited by 2
- isMulCommutative_iff_of_setLikestatement and proof · cited by 2
- MulHom.codRestrictstatement and proof · cited by 1
- MulMemClass.coe_mulstatement and proof · cited by 1
- Subsemigroup.ofClassstatement and proof · cited by 1
- MulHom.domRestrict_applystatement and proof · cited by 1
- MulMemClass.mul_mem_add_closurestatement and proof · cited by 1
- MulMemClass.mul_right_mem_add_closurestatement and proof · cited by 1