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Theorems · Theorem · logic and foundations

PrimrecPred.comp

∀ {α : Type u_1} {β : Type u_2} [inst : Primcodable α] [inst_1 : Primcodable β] {p : β → Prop} {f : α → β},
  PrimrecPred p → Primrec f → PrimrecPred fun a => p (f a)
Defined in
Mathlib.Computability.Primrec.Basic
Cited by
4 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PrimcodablePrimcodable
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Around this declaration

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

PrimrecRel.comp · cited by 17PrimrecRel.compPrimrec.listFilter · cited by 2Primrec.listFilterPrimrecPred.forall_lt · cited by 0PrimrecPred.forall_ltPrimrecPred.exists_lt · cited by 0PrimrecPred.exists_ltPrimcodable · cited by 325PrimcodablePrimrec · cited by 141PrimrecPrimrec.comp · cited by 80Primrec.compPrimrecPred · cited by 23PrimrecPredPrimrec.primrecPred · cited by 8Primrec.primrecPredPrimrecPred.compCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.