Theorems · Definition
Set.ofPred
{α : Type u} → (α → Prop) → Set αTurn a predicate p : α → Prop into a set, also written as {x | p x}
- Defined in
- Mathlib.Data.Set.Defs
- Cited by
- 6,101 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
Cited by7,067
Results whose statement or proof uses this declaration.
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- Set.rangeproof · cited by 4,705
- Set.univproof · cited by 3,945
- Filter.Eventuallyproof · cited by 3,134
- Set.Iccproof · cited by 1,702
- Filter.mp_memstatement and proof · cited by 1,537
- Submodule.spanproof · cited by 1,504
- Set.Ioiproof · cited by 1,463
- closureproof · cited by 1,254
- Set.Iooproof · cited by 1,214
- Set.Iioproof · cited by 1,166
Showing the 200 most cited of 7,067.