Theorems · Theorem · logic and foundations
PrimrecRel.of_eq
∀ {α : Type u_1} {β : Type u_2} [inst : Primcodable α] [inst_1 : Primcodable β] {r s : α → β → Prop},
PrimrecRel r → (∀ (a : α) (b : β), r a b ↔ s a b) → PrimrecRel s- Defined in
- Mathlib.Computability.Primrec.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 77 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.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- PrimrecRelstatement and proof · cited by 22
Cited by4
Results whose statement or proof uses this declaration.
- Primrec.eqproof · cited by 12
- Primrec.nat_divproof · cited by 2
- PrimrecRel.exists_mem_listproof · cited by 1
- PrimrecRel.forall_mem_listproof · cited by 1