Theorems · Theorem · group theory
HasMemOrNegMem.mem_or_neg_mem
∀ {S : Type u_3} {G : Type u_4} {inst : Neg G} {inst_1 : SetLike S G} (s : S) [self : HasMemOrNegMem s] (a : G),
a ∈ s ∨ -a ∈ s- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- HasMemOrNegMem
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLikestatement and proof · cited by 1,084
- HasMemOrNegMemstatement and proof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- HasMemOrNegMem.neg_mem_of_notMemproof · cited by 1
- HasMemOrNegMem.mem_of_neg_notMemproof · cited by 0