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Theorems · Theorem · logic and foundations

PrimrecRel.forall_lt

∀ {R : ℕ → ℕ → Prop}, PrimrecRel R → PrimrecRel fun n y => ∀ x < n, R x y

If 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

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