Theorems · Inductive type · logic and foundations
Part
Type u → Type u
Part α is the type of "partial values" of type α. It
is similar to Option α except the domain condition can be an
arbitrary proposition, not necessarily decidable.
- Defined in
- Mathlib.Data.Part
- Cited by
- 325 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by377
Results whose statement or proof uses this declaration.
- PFunproof · cited by 207
- Part.Domstatement and proof · cited by 145
- Part.somestatement · cited by 111
- Part.getstatement and proof · cited by 77
- Part.bindstatement and proof · cited by 70
- Part.mapstatement and proof · cited by 65
- Part.bind_somestatement and proof · cited by 49
- Part.nonestatement · cited by 36
- Part.ofOptionstatement and proof · cited by 33
- Part.map_somestatement · cited by 27
- Part.extstatement and proof · cited by 24
- Partrec.of_eqstatement · cited by 19
Showing the 200 most cited of 377.