Theorems · Theorem · logic and foundations
disjoin_manyOneReducible
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : Primcodable α] [inst_1 : Primcodable β] [inst_2 : Primcodable γ]
{p : α → Prop} {q : β → Prop} {r : γ → Prop}, p ≤₀ r → q ≤₀ r → Sum.elim p q ≤₀ r- Defined in
- Mathlib.Computability.Reduce
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 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.
- Primcodablestatement and proof · cited by 325
- Computableproof · cited by 80
- Computable.compproof · cited by 31
- Computable.sndproof · cited by 21
- Computable.to₂proof · cited by 17
- ManyOneReduciblestatement and proof · cited by 17
- Computable.idproof · cited by 8
- Computable.sumCasesOnproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- disjoin_leproof · cited by 1
- ManyOneDegree.add_ofproof · cited by 0