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Theorems · Theorem · logic and foundations

Primrec.list_take

∀ {α : Type u_1} [inst : Primcodable α], Primrec₂ List.take

List.take is primitive recursive.

Defined in
Mathlib.Computability.Primrec.List
Cited by
2 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Primcodable
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Around this declaration

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

Primrec.list_modify' · cited by 2Primrec.list_modify'Primrec.list_takeWhile · cited by 0Primrec.list_takeWhilePrimcodable · cited by 325PrimcodablePrimrec₂ · cited by 93Primrec₂Primrec.comp · cited by 80Primrec.compPrimrec.snd · cited by 66Primrec.sndPrimrec.fst · cited by 58Primrec.fstPrimrec₂.comp · cited by 55Primrec₂.compPrimrec.of_eq · cited by 50Primrec.of_eqPrimrec.list_length · cited by 7Primrec.list_lengthPrimrec.nat_sub · cited by 5Primrec.nat_subPrimrec.list_reverse · cited by 3Primrec.list_reversePrimrec.list_drop · cited by 3Primrec.list_dropPrimrec.list_takeCITED BYCITES

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.