Theorems · Theorem · logic and foundations
Primrec.comp
∀ {α : Type u_1} {β : Type u_2} {σ : Type u_3} [inst : Primcodable α] [inst_1 : Primcodable β] [inst_2 : Primcodable σ]
{f : β → σ} {g : α → β}, Primrec f → Primrec g → Primrec fun a => f (g a)- Defined in
- Mathlib.Computability.Primrec.Basic
- Cited by
- 80 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- add_tsub_cancel_rightproof · cited by 172
- Primrecstatement and proof · cited by 141
- Encodable.encodeproof · cited by 118
- Encodable.decodeproof · cited by 77
- Encodable.encodekproof · cited by 27
- Nat.Primrec.of_eqproof · cited by 25
- Primcodable.primproof · cited by 17
- Nat.Primrec.predproof · cited by 7
- Nat.Primrec.casesOn1proof · cited by 5
Cited by80
Results whose statement or proof uses this declaration.
- Primrec₂.compproof · cited by 55
- Primrec.encode_iffproof · cited by 18
- Primrec.comp₂proof · cited by 12
- Primrec.option_some_iffproof · cited by 11
- Primrec.condproof · cited by 7
- Primrec.list_getElem?proof · cited by 7
- Primrec.list_lengthproof · cited by 7
- Primrec.vector_headproof · cited by 6
- Primrec.list_foldrproof · cited by 6
- Primrec.option_casesOnproof · cited by 5
- Primrec.vector_getproof · cited by 5
- Primrec.list_rangeproof · cited by 4