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Theorems · Theorem · logic and foundations

Primrec.subtype_mk

∀ {α : Type u_1} {β : Type u_2} [inst : Primcodable α] [inst_1 : Primcodable β] {p : β → Prop}
  [inst_2 : DecidablePred p] {hp : PrimrecPred p} {f : α → β} {h : ∀ (a : α), p (f a)},
  Primrec f → Primrec fun a => ⟨f a, ⋯⟩
Defined in
Mathlib.Computability.Primrec.Basic
Cited by
1 results in Mathlib
Foundations
Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PrimcodablePrimcodableDecidablePred
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Primrec.ulower_down · cited by 1Primrec.ulower_downPrimcodable · cited by 325PrimcodablePrimrec · cited by 141PrimrecPrimrecPred · cited by 23PrimrecPredPrimcodable.subtype · cited by 5Primcodable.subtypePrimrec.subtype_val_iff · cited by 3Primrec.subtype_val_iffPrimrec.subtype_mkCITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.