Theorems · Definition · order theory
RelIso.toEquiv
{α : Type u_5} → {β : Type u_6} → {r : α → α → Prop} → {s : β → β → Prop} → r ≃r s → α ≃ β- Defined in
- Mathlib.Order.RelIso.Basic
- Cited by
- 113 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by140
Results whose statement or proof uses this declaration.
- RelIso.symmproof · cited by 193
- OrderIso.apply_symm_applyproof · cited by 45
- OrderIso.symm_apply_applyproof · cited by 41
- RelIso.toRelEmbeddingproof · cited by 34
- OrderIso.injectiveproof · cited by 28
- OrderIso.surjectiveproof · cited by 28
- OrderIso.dualproof · cited by 24
- Tuple.sortproof · cited by 19
- RelIso.transproof · cited by 18
- OrderIso.image_eq_preimage_symmproof · cited by 13
- LowerSet.mapproof · cited by 12
- OrderIso.symm_apply_eqproof · cited by 11