Theorems · Theorem · order theory
Set.surjOn_image
∀ {α : Type u_1} {β : Type u_2} (f : α → β) (s : Set α), Set.SurjOn f s (f '' s)- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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.
- Setstatement and proof · cited by 53,352
- Set.imagestatement · cited by 5,609
- Set.Subset.rflproof · cited by 255
- Set.SurjOnstatement · cited by 186
Cited by15
Results whose statement or proof uses this declaration.
- Finset.sum_of_injOnproof · cited by 8
- isComplete_image_iffproof · cited by 5
- Set.exists_subset_bijOnproof · cited by 3
- Set.LeftInvOn.map_nhdsWithin_eqproof · cited by 3
- Submonoid.LocalizationMap.map_surjective_of_surjectiveproof · cited by 1
- eVariationOn.comp_eq_of_antitoneOnproof · cited by 1
- surjOn_Ici_of_monotone_surjectiveproof · cited by 1
- eVariationOn.comp_eq_of_monotoneOnproof · cited by 1
- Set.surjOn_comp_iffproof · cited by 1
- Submonoid.LocalizationMap.map_injective_of_injectiveproof · cited by 1
- Set.eqOn_comp_right_iffproof · cited by 1
- AddSubmonoid.LocalizationMap.map_surjective_of_surjectiveproof · cited by 0