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Theorem firstN-rec

⊦ firstn(n + 1, x) = x.first + firstn(n, x.rest)

Type: An axiom
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: first-all, first-append, first-length, first-num, firstN-dups-04, firstN-empty, firstN-len, firstN-num-rec, firstN-rec-01, firstn-app, firstn-append, firstn-append-01, firstn-butlast, firstn-firstn, firstn-last, firstn-last-01, firstn-last-rec, firstn-prefix-04, firstn-restn-eq, firstn-restn-in, firstn-twice, firstrestex, get-firstn, restn-firstn, restn-firstn-better, sub-zerorec, sub-zerorec-01, sublist-append-04, sublist-firsteq, sublist-last, sublist-lenrec, sublist-lenrec-01, sublist-move, sublist-not-empty, sublist-num-01, sublist-part, sublist-prefix, sublist-rec, sublist-rec-01, weak-firstN-rec,
Used by units in proved state:
Proof exists?: No