Theorems · Theorem · logic and foundations
Computable.sumCasesOn
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable β]
[inst_2 : Primcodable γ] [inst_3 : Primcodable σ] {f : α → β ⊕ γ} {g : α → β → σ} {h : α → γ → σ},
Computable f → Computable₂ g → Computable₂ h → Computable fun a => Sum.casesOn (f a) (g a) (h a)- Defined in
- Mathlib.Computability.Partrec
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Primcodablestatement and proof · cited by 325
- Encodable.encodeproof · cited by 118
- mul_div_cancel_left₀proof · cited by 111
- Computablestatement and proof · cited by 80
- Encodable.decodeproof · cited by 77
- Nat.boddproof · cited by 37
- Computable₂statement and proof · cited by 32
- Computable.compproof · cited by 31
- Encodable.encodekproof · cited by 27
- Nat.bodd_succproof · cited by 11
- Computable.of_eqproof · cited by 9
- Computable.decodeproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- Partrec.sumCasesOn_rightproof · cited by 3
- disjoin_manyOneReducibleproof · cited by 2
- Partrec.sumCasesOn_leftproof · cited by 1
- Partrec.fixproof · cited by 0
- Partrec.sumCasesOnproof · cited by 0