Theorems · Theorem · logic and foundations
Primrec.listFilterMap
∀ {α : Type u_1} {β : Type u_2} {σ : Type u_4} [inst : Primcodable α] [inst_1 : Primcodable β] [inst_2 : Primcodable σ]
{f : α → List β} {g : α → β → Option σ}, Primrec f → Primrec₂ g → Primrec fun a => List.filterMap (g a) (f a)- Defined in
- Mathlib.Computability.Primrec.List
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 95 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
- Primrecstatement and proof · cited by 141
- Primrec₂statement and proof · cited by 93
- Primrec.of_eqproof · cited by 50
- Primrec.comp₂proof · cited by 12
- Primrec.optionToListproof · cited by 2
- Primrec.list_flatMapproof · cited by 2
- List.filterMap_eq_flatMap_toListproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- PrimrecRel.listFilterproof · cited by 2
- Primrec.listFilterproof · cited by 2
- Primrec.nat_omega_rec'proof · cited by 1
- PrimrecPred.listFilter_listRangeproof · cited by 0