Theorems · Definition · order theory
PrincipalSeg.transRelIso
{α : Type u_1} →
{β : Type u_2} →
{γ : Type u_3} →
{r : α → α → Prop} → {s : β → β → Prop} → {t : γ → γ → Prop} → PrincipalSeg r s → s ≃r t → PrincipalSeg r tComposition of a principal segment embedding with a relation isomorphism, as a principal segment embedding
- Defined in
- Mathlib.Order.InitialSeg
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RelIsostatement and proof · cited by 456
- PrincipalSegstatement and proof · cited by 73
- RelIso.toInitialSegproof · cited by 4
- PrincipalSeg.transInitialproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.relIso_enum'proof · cited by 1
- PrincipalSeg.transRelIso_applystatement · cited by 0
- PrincipalSeg.transRelIso_topstatement · cited by 0
- InitialSeg.totalproof · cited by 0