Theorems · Definition · logic and foundations
Part.bind
{α : Type u_1} → {β : Type u_2} → Part α → (α → Part β) → Part βThe bind operation has value g (f.get), and is defined when all the
parts are defined.
- Defined in
- Mathlib.Data.Part
- Cited by
- 70 results in Mathlib
- Foundations
- Depth 9 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.
- Partstatement and proof · cited by 325
- Part.Domproof · cited by 145
- Part.getproof · cited by 77
- Part.assertproof · cited by 10
Cited by76
Results whose statement or proof uses this declaration.
- Part.bind_somestatement · cited by 49
- Partrecproof · cited by 48
- Primrec.to_compproof · cited by 40
- RecursiveInproof · cited by 15
- Partrec.compproof · cited by 12
- PFun.compproof · cited by 10
- Partrec.bindstatement and proof · cited by 10
- Part.bind_nonestatement · cited by 9
- Nat.rfindOptproof · cited by 9
- Partrec.nat_iffproof · cited by 8
- Computable.ofOptionproof · cited by 7
- Nat.Partrec.of_primrecproof · cited by 6