Theorems · Theorem · order theory
Set.range_eval
∀ {ι : Sort u_4} {α : ι → Type u_5} [∀ (i : ι), Nonempty (α i)] (i : ι), Set.range (Function.eval i) = Set.univ- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.rangestatement · cited by 4,705
- Set.univstatement · cited by 3,945
- Function.evalstatement · cited by 140
- Function.Surjective.range_eqproof · cited by 70
- Function.surjective_evalproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Filter.comap_eval_neBot_iff'proof · cited by 0