Theorems · Definition · logic and foundations
Part.Dom
{α : Type u} → Part α → PropThe domain of a partial value
- Defined in
- Mathlib.Data.Part
- Cited by
- 145 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.
- Partstatement and proof · cited by 325
Cited by164
Results whose statement or proof uses this declaration.
- Part.getstatement · cited by 77
- Part.bindproof · cited by 70
- Part.mapproof · cited by 65
- PFun.Domproof · cited by 28
- Part.extproof · cited by 24
- Part.mem_uniqueproof · cited by 18
- Part.eq_some_iffproof · cited by 17
- Nat.rfindproof · cited by 17
- Part.toOptionstatement and proof · cited by 16
- PFun.fixproof · cited by 16
- Finset.pimagestatement and proof · cited by 11
- Part.assertproof · cited by 10