Theorems · Theorem · logic and foundations
Primrec.nat_findGreatest
∀ {α : Type u_1} [inst : Primcodable α] {f : α → ℕ} {p : α → ℕ → Prop} [inst_1 : DecidableRel p],
Primrec f → PrimrecRel p → Primrec fun x => Nat.findGreatest (p x) (f x)- Defined in
- Mathlib.Computability.Primrec.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PrimcodableDecidableRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Primrec.compproof · cited by 80
- Primrec.sndproof · cited by 66
- Primrec.fstproof · cited by 58
- Primrec.constproof · cited by 57
- Primrec.of_eqproof · cited by 50
- Nat.findGreateststatement and proof · cited by 25
- PrimrecRelstatement and proof · cited by 22
- PrimrecRel.compproof · cited by 17
- Primrec.succproof · cited by 12
- Primrec.iteproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Primrec.of_graphproof · cited by 1