Theorems · Definition · order theory
PrincipalSeg.top
{α : Type u_4} → {β : Type u_5} → {r : α → α → Prop} → {s : β → β → Prop} → PrincipalSeg r s → βThe supremum of the principal segment
- Defined in
- Mathlib.Order.InitialSeg
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 1 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.
- PrincipalSegstatement and proof · cited by 73
Cited by48
Results whose statement or proof uses this declaration.
- PrincipalSeg.lt_topstatement · cited by 7
- PrincipalSeg.coconeproof · cited by 6
- PrincipalSeg.subrelIsostatement · cited by 6
- PrincipalSeg.mem_range_iff_relstatement · cited by 5
- PrincipalSeg.mem_range_of_rel_topstatement and proof · cited by 5
- PrincipalSeg.relIsoTransproof · cited by 4
- PrincipalSeg.range_eqstatement · cited by 3
- PrincipalSeg.transInitialproof · cited by 3
- PrincipalSeg.codRestrictstatement and proof · cited by 2
- Ordinal.iSup_typein_succproof · cited by 2
- PrincipalSeg.orderIsoIiostatement · cited by 2
- Ordinal.enum_typestatement and proof · cited by 2