Theorems · Theorem · logic and foundations
Primrec.nat_casesOn
∀ {α : Type u_1} {β : Type u_2} [inst : Primcodable α] [inst_1 : Primcodable β] {f : α → ℕ} {g : α → β} {h : α → ℕ → β},
Primrec f → Primrec g → Primrec₂ h → Primrec fun a => Nat.casesOn (f a) (g a) (h a)- Defined in
- Mathlib.Computability.Primrec.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PrimcodablePrimcodable
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
- Primrec₂.compproof · cited by 55
- Primrec.idproof · cited by 40
- Primrec.nat_casesOn'proof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Primrec.condproof · cited by 7
- Primrec.list_getElem?proof · cited by 7
- Primrec.option_casesOnproof · cited by 5
- Primrec.nat_leproof · cited by 5
- Nat.Partrec.Code.primrec_recOn'proof · cited by 1
- Primrec.nat_casesOn₁proof · cited by 0