Mathlib Map

Theorems · Inductive type · group theory

HasMemOrInvMem

{S : Type u_3} → {G : Type u_4} → [Inv G] → [SetLike S G] → S → Prop

Typeclass for substructures s such that s ∪ s⁻¹ = G.

Defined in
Mathlib.Algebra.Group.Subgroup.Defs
Cited by
3 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
InvSetLike
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HasMemOrInvMem.mem_or_inv_mem · cited by 2HasMemOrInvMem.mem_or_inv…HasMemOrInvMem.mem_of_inv_notMem · cited by 0HasMemOrInvMem.mem_of_inv…HasMemOrInvMem.recOn · cited by 0HasMemOrInvMem.recOnLinearOrder.mkOfGroupCone · cited by 0LinearOrder.mkOfGroupConeHasMemOrInvMem.casesOn · cited by 0HasMemOrInvMem.casesOnHasMemOrInvMem.inv_mem_of_notMem · cited by 0HasMemOrInvMem.inv_mem_of…SetLike · cited by 1084SetLikeHasMemOrInvMemCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.