Theorems · Theorem · order theory
Set.SurjOn.surjective
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {f : α → β}, Set.SurjOn f s Set.univ → Function.Surjective f- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.univstatement and proof · cited by 3,945
- Set.Subset.rflproof · cited by 255
- Set.subset_univproof · cited by 228
- Set.SurjOnstatement and proof · cited by 186
- Set.SurjOn.monoproof · cited by 13
- Set.surjOn_univproof · cited by 4
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