Theorems · Theorem · logic and foundations
disjoin_le
∀ {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}, Sum.elim p q ≤₀ r ↔ p ≤₀ r ∧ q ≤₀ r- Defined in
- Mathlib.Computability.Reduce
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- ManyOneReduciblestatement and proof · cited by 17
- ManyOneReducible.transproof · cited by 6
- OneOneReducible.to_many_oneproof · cited by 4
- OneOneReducible.disjoin_leftproof · cited by 2
- disjoin_manyOneReducibleproof · cited by 2
- OneOneReducible.disjoin_rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ManyOneDegree.add_leproof · cited by 2