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Theorems · Definition · logic and foundations

Turing.ToPartrec.Code.head

Turing.ToPartrec.Code

head gets the head of the input list: head [] = [0], head (n :: v) = [n].

Defined in
Mathlib.Computability.TuringMachine.Config
Cited by
3 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Turing.ToPartrec.Code.pred · cited by 2Code.predTuring.ToPartrec.Code.head_eval · cited by 2Code.head_evalTuring.ToPartrec.Code.pred_eval · cited by 1Code.pred_evalTuring.ToPartrec.Code.prec · cited by 1Code.precTuring.ToPartrec.Code.exists_code · cited by 0Code.exists_codeTuring.ToPartrec.Code · cited by 83ToPartrec.CodeTuring.ToPartrec.Code.nil · cited by 5Code.nilTuring.ToPartrec.Code.id · cited by 3Code.idCode.headCITED BYCITES

Cites3

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

Cited by5

Results whose statement or proof uses this declaration.