ComputablePred.rice

∀ (C : Set (ℕ →. ℕ)),
  (ComputablePred fun c => c.eval ∈ C) → ∀ {f g : ℕ →. ℕ}, Nat.Partrec f → Nat.Partrec g → f ∈ C → g ∈ C

Rice's Theorem

Defined in: Mathlib.Computability.Halting
Cited by: 2 results in Mathlib
Foundations: Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound

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