Theorems · Inductive type · group theory
HasMemOrNegMem
{S : Type u_3} → {G : Type u_4} → [Neg G] → [SetLike S G] → S → PropTypeclass for substructures s such that s ∪ -s = G.
- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 5 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 by10
Results whose statement or proof uses this declaration.
- HasMemOrNegMem.mem_or_neg_memstatement and proof · cited by 2
- HasMemOrNegMem.neg_mem_of_notMemstatement and proof · cited by 1
- RingPreordering.IsOrdering.mk'statement and proof · cited by 1
- HasMemOrNegMem.casesOnstatement and proof · cited by 0
- HasMemOrNegMem.mem_of_neg_notMemstatement and proof · cited by 0
- RingPreordering.isOrdering_iffproof · cited by 0
- HasMemOrNegMem.recOnstatement and proof · cited by 0
- LinearOrder.mkOfAddGroupConestatement and proof · cited by 0
- RingPreordering.IsOrdering.casesOnstatement and proof · cited by 0
- RingPreordering.IsOrdering.recOnstatement and proof · cited by 0