Theorems · Theorem · logic and foundations
Primrec.option_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 → Option β} {g : α → β → Option σ}, Primrec f → Primrec₂ g → Primrec fun a => (f a).bind (g a)- Defined in
- Mathlib.Computability.Primrec.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- Primrecstatement and proof · cited by 141
- Primrec₂statement and proof · cited by 93
- Primrec.constproof · cited by 57
- Primrec.of_eqproof · cited by 50
- Primrec.option_casesOnproof · cited by 5
Cited by8
Results whose statement or proof uses this declaration.
- Primrec.option_mapproof · cited by 5
- Nat.Partrec.Code.primrec_evalnproof · cited by 3
- Primrec.nat_strong_recproof · cited by 2
- Primrec.decode₂proof · cited by 2
- Primrec.bind_decode_iffproof · cited by 1
- Nat.Partrec.Code.primrec_recOn'proof · cited by 1
- Primcodable.mem_range_encodeproof · cited by 0
- Primrec.option_bind₁proof · cited by 0