Theorems · Theorem · order theory
Function.Surjective.surjOn_preimage
∀ {α : Type u_1} {β : Type u_2} {t : Set β} {f : α → β}, Function.Surjective f → Set.SurjOn f (f ⁻¹' t) t- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.preimagestatement · cited by 4,946
- Set.SurjOnstatement · cited by 186
- Function.Surjective.surjOnproof · cited by 2
- Set.SurjOn.preimageproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Function.Bijective.bijOn_preimageproof · cited by 1