Theorems · Theorem · order theory
Set.mapsTo_univ_iff
∀ {α : Type u_1} {β : Type u_2} {t : Set β} {f : α → β}, Set.MapsTo f Set.univ t ↔ ∀ (x : α), f x ∈ t- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 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.univstatement and proof · cited by 3,945
- Set.MapsTostatement and proof · cited by 732
- Set.mem_univproof · cited by 416
Cited by3
Results whose statement or proof uses this declaration.
- Set.Finite.exists_lt_map_eq_of_forall_memproof · cited by 6
- ZLattice.rankproof · cited by 5
- Set.mapsTo_univ_iff_range_subsetproof · cited by 0