Theorems · Definition · logic and foundations
OneOneReducible
{α : Type u_1} → {β : Type u_2} → [Primcodable α] → [Primcodable β] → (α → Prop) → (β → Prop) → Propp is one-one reducible to q if there is an injective computable function translating questions
about p to questions about q.
- Defined in
- Mathlib.Computability.Reduce
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- 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
- Computableproof · cited by 80
Cited by16
Results whose statement or proof uses this declaration.
- OneOneEquivproof · cited by 10
- OneOneReducible.to_many_onestatement and proof · cited by 4
- OneOneReducible.transstatement and proof · cited by 3
- OneOneEquiv.le_congr_leftstatement · cited by 2
- OneOneEquiv.le_congr_rightstatement and proof · cited by 2
- OneOneReducible.disjoin_leftstatement · cited by 2
- OneOneReducible.disjoin_rightstatement · cited by 2
- OneOneReducible.of_equivstatement · cited by 2
- oneOneReducible_reflstatement · cited by 1
- OneOneEquiv.to_many_oneproof · cited by 1
- OneOneEquiv.transproof · cited by 1
- OneOneReducible.mkstatement · cited by 1