Theorems · Theorem · order theory
Set.surjective_mapsTo_image_restrict
∀ {α : Type u_1} {β : Type u_2} (f : α → β) (s : Set α), Function.Surjective (Set.MapsTo.restrict f s (f '' s) ⋯)- Defined in
- Mathlib.Data.Set.Restrict
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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.Elemstatement and proof · cited by 7,166
- Set.imagestatement and proof · cited by 5,609
- Set.mapsTo_imagestatement and proof · cited by 71
- Set.MapsTo.restrictstatement and proof · cited by 57
Cited by4
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.injective_πsproof · cited by 4
- Profinite.NobelingProof.surjective_projRestrictsproof · cited by 1
- Set.ncard_le_ncard_image_add_one_iffproof · cited by 1
- Set.surjOn_iff_exists_map_subtypeproof · cited by 0