Theorems · Theorem · logic and foundations
Partrec.bind
∀ {α : Type u_1} {β : Type u_2} {σ : Type u_3} [inst : Primcodable α] [inst_1 : Primcodable β] [inst_2 : Primcodable σ]
{f : α →. β} {g : α → β →. σ}, Partrec f → Partrec₂ g → Partrec fun a => (f a).bind (g a)- Defined in
- Mathlib.Computability.Partrec
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- PFunstatement and proof · cited by 207
- Encodable.encodeproof · cited by 118
- Part.someproof · cited by 111
- Encodable.decodeproof · cited by 77
- Part.bindstatement and proof · cited by 70
- Nat.unpairproof · cited by 67
- Part.mapproof · cited by 65
- Nat.pairproof · cited by 62
- Part.bind_someproof · cited by 49
- Partrecstatement and proof · cited by 48
- Part.noneproof · cited by 36
Cited by10
Results whose statement or proof uses this declaration.
- Partrec.mapproof · cited by 8
- Partrec.condproof · cited by 3
- Nat.Partrec'.to_partproof · cited by 2
- Partrec.rfindOptproof · cited by 2
- Partrec.optionCasesOn_rightproof · cited by 1
- Computable.bind_decode_iffproof · cited by 1
- Nat.Partrec.Code.fixed_pointproof · cited by 1
- Partrec.bind_decode₂_iffproof · cited by 1
- Partrec.merge'proof · cited by 1
- Partrec.fixproof · cited by 0