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Theorems · Theorem · order theory

Function.Surjective.surjOn

∀ {α : Type u_1} {β : Type u_2} {t : Set β} {f : α → β}, Function.Surjective f → Set.SurjOn f Set.univ t
Defined in
Mathlib.Data.Set.Function
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Function.Surjective.surjOn_preimage · cited by 1Surjective.surjOn_preimageFunction.Semiconj.surjOn_range · cited by 0Semiconj.surjOn_rangeSet · cited by 53352SetSet.univ · cited by 3945Set.univSet.Subset.rfl · cited by 255Subset.rflSet.subset_univ · cited by 228Set.subset_univSet.SurjOn · cited by 186Set.SurjOnSet.SurjOn.mono · cited by 13SurjOn.monoSet.surjOn_univ · cited by 4Set.surjOn_univSurjective.surjOnCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.