Theorems · Theorem · order theory
PrincipalSeg.apply_subrelIso
∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} (f : PrincipalSeg r s) (b : { b // s b f.top }),
f.toRelEmbedding (f.subrelIso b) = ↑b- Defined in
- Mathlib.Order.InitialSeg
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equiv.symmproof · cited by 3,681
- RelIsostatement · cited by 456
- RelEmbeddingstatement · cited by 281
- PrincipalSeg.toRelEmbeddingstatement and proof · cited by 129
- PrincipalSegstatement and proof · cited by 73
- Subrelstatement · cited by 53
- PrincipalSeg.topstatement and proof · cited by 41
- RelEmbedding.injectiveproof · cited by 41
- Equiv.apply_ofInjective_symmproof · cited by 8
- Equiv.subtypeEquivPropproof · cited by 6
- PrincipalSeg.subrelIsostatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.typein_enumproof · cited by 13