Theorems · Inductive type · group theory
NegMemClass
(S : Type u_3) → (G : outParam (Type u_4)) → [Neg G] → [SetLike S G] → Prop
NegMemClass S G states S is a type of subsets s ⊆ G closed under negation.
- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 11 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 by19
Results whose statement or proof uses this declaration.
- NegMemClass.neg_memstatement and proof · cited by 63
- neg_mem_iffstatement and proof · cited by 42
- neg_coe_setstatement and proof · cited by 3
- HomogeneousLocalization.val_negstatement and proof · cited by 3
- Set.injOn_iff_map_eq_zerostatement and proof · cited by 1
- HomogeneousLocalization.mk_negstatement and proof · cited by 1
- abs_mem_iffstatement and proof · cited by 1
- NegMemClass.casesOnstatement and proof · cited by 0
- AddSubgroupClass.recOnstatement and proof · cited by 0
- NegMemClass.recOnstatement and proof · cited by 0
- NonUnitalSubringClass.casesOnstatement and proof · cited by 0
- NonUnitalSubringClass.recOnstatement and proof · cited by 0