Theorems · Definition · logic and foundations
ManyOneDegree.liftOn
{φ : Sort u_1} → ManyOneDegree → (f : Set ℕ → φ) → (∀ (p q : ℕ → Prop), ManyOneEquiv p q → f p = f q) → φLifts a function on sets of natural numbers to many-one degrees.
- Defined in
- Mathlib.Computability.Reduce
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Quotient.liftOn'proof · cited by 19
- ManyOneEquivstatement and proof · cited by 16
- ManyOneDegreestatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- ManyOneDegree.liftOn₂proof · cited by 1
- ManyOneDegree.liftOn_eqstatement · cited by 0