Theorems · Theorem · group theory
HasMemOrNegMem.neg_mem_of_notMem
∀ {S : Type u_3} {G : Type u_4} [inst : Neg G] [inst_1 : SetLike S G] (s : S) [HasMemOrNegMem s], ∀ x ∉ s, -x ∈ s- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
- Assumes
- NegSetLikeHasMemOrNegMem
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- HasMemOrNegMem.mem_or_neg_memproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- RingPreordering.isOrdering_iffproof · cited by 0