Theorems · Theorem · logic and foundations
PrimrecRel.comp
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : Primcodable α] [inst_1 : Primcodable β] [inst_2 : Primcodable γ]
{R : β → γ → Prop} {f : α → β} {g : α → γ}, PrimrecRel R → Primrec f → Primrec g → PrimrecPred fun a => R (f a) (g a)- Defined in
- Mathlib.Computability.Primrec.Basic
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
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
- PrimrecPredstatement · cited by 23
- PrimrecRelstatement and proof · cited by 22
- Primrec.pairproof · cited by 9
- PrimrecPred.compproof · cited by 4
Cited by17
Results whose statement or proof uses this declaration.
- Nat.Partrec.ppredproof · cited by 4
- Primrec.nat_divproof · cited by 2
- Primrec.nat_ltproof · cited by 2
- Primrec.fin_val_iffproof · cited by 2
- PrimrecRel.comp₂proof · cited by 2
- PrimrecRel.listFilterproof · cited by 2
- Primrec.nat_findGreatestproof · cited by 1
- PrimrecPred.exists_mem_listproof · cited by 1
- PrimrecPred.forall_mem_listproof · cited by 1
- PrimrecRel.exists_mem_listproof · cited by 1
- PrimrecRel.forall_mem_listproof · cited by 1
- Primrec.option_guardproof · cited by 1