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Theorems · Theorem · logic and foundations

Computable.option_getD

∀ {α : Type u_1} {β : Type u_2} [inst : Primcodable α] [inst_1 : Primcodable β] {f : α → Option β} {g : α → β},
  Computable f → Computable g → Computable fun a => (f a).getD (g a)
Defined in
Mathlib.Computability.Partrec
Cited by
1 results in Mathlib
Foundations
Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PrimcodablePrimcodable
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

toNat_manyOneReducible · cited by 2toNat_manyOneReduciblePrimcodable · cited by 325PrimcodableComputable · cited by 80ComputableComputable₂ · cited by 32Computable₂Computable.snd · cited by 21Computable.sndComputable.of_eq · cited by 9Computable.of_eqComputable.option_casesOn · cited by 2Computable.option_casesOnComputable.option_getDCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.