Theorems · Theorem · logic and foundations
PrimrecRel.exists_lt
∀ {R : ℕ → ℕ → Prop}, PrimrecRel R → PrimrecRel fun n y => ∃ x < n, R x yIf R a b is decidable, then for any fixed n and y, g n y ↔ ∃ x < n, R x y is a
primitive recursive relation.
- Defined in
- Mathlib.Computability.Primrec.List
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primrec.compproof · cited by 80
- Primrec.sndproof · cited by 66
- Primrec.fstproof · cited by 58
- PrimrecRelstatement and proof · cited by 22
- PrimrecRel.compproof · cited by 17
- PrimrecPred.of_eqproof · cited by 9
- Primrec.list_rangeproof · cited by 4
- PrimrecRel.exists_mem_listproof · cited by 1
Cited by0
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