Theorems · Theorem · logic and foundations
Part.bind_map
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_4} (f : α → β) (x : Part α) (g : β → Part γ),
(Part.map f x).bind g = x.bind fun y => g (f y)- Defined in
- Mathlib.Data.Part
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.someproof · cited by 111
- Part.bindstatement and proof · cited by 70
- Part.mapstatement · cited by 65
- Part.bind_someproof · cited by 49
- Part.bind_some_eq_mapproof · cited by 6
- Part.bind_assocproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- Partrec.bindproof · cited by 10
- Partrec.condproof · cited by 3
- Partrec.nat_recproof · cited by 3
- Partrec.option_some_iffproof · cited by 2
- Nat.Partrec.prec'proof · cited by 1
- Nat.Partrec.Code.evaln_completeproof · cited by 1