Theorems · Theorem · order theory
RelIso.ofSurjective_apply
∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} (f : r ↪r s) (H : Function.Surjective ⇑f) (a : α),
(RelIso.ofSurjective f H) a = f a- Defined in
- Mathlib.Order.RelIso.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses Classical.choice, 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.
- DFunLike.coestatement and proof · cited by 62,936
- RelIsostatement · cited by 456
- RelEmbeddingstatement and proof · cited by 281
- RelIso.ofSurjectivestatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Nat.Subtype.orderIsoOfNat_applyproof · cited by 0