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Theorem get-succ

⊦ (a ' + x)[n + 1] = x[n]

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: dups-def, firstn-last, firstn-last-rec, get, get-add-num, get-app, get-append-grt, get-append-less, get-butlast, get-firstn, get-last, get-last-01, get-last2, get-numrec, get-restn, in-get, list-select-not-first, map-get, put-del1-in, put-in, put-in-01, restn-first-get, restn-less, rmpos-get, sublist-lenrec, sublist-lenrec-01, sublist-one, sublist-recstart,
Used by units in proved state: wolist, stream-old, stream, olist, mon-lim-filter-count-old, mon-lim-filter-count, list-set, list-perm, filter-count,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas:
Used spec theorems:
- list/c
- list-getput/get-succ
Used simplifier rules: