Theorems · Theorem · order theory
Set.surjOn_univ
∀ {α : Type u_1} {β : Type u_2} {f : α → β}, Set.SurjOn f Set.univ Set.univ ↔ Function.Surjective f- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.univstatement and proof · cited by 3,945
- Set.image_univproof · cited by 322
- Set.SurjOnstatement · cited by 186
Cited by4
Results whose statement or proof uses this declaration.
- Function.Surjective.surjOnproof · cited by 2
- PartialEquiv.surjective_of_target_eq_univproof · cited by 2
- Submodule.projectionOnto_comp_surjective_of_exactproof · cited by 2
- Set.SurjOn.surjectiveproof · cited by 0