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Theorem get-rest

⊦ 0 < j → getarray(r, i, j, st) .rest = getarray(r, i + 1, j - 1, st)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: get-rest-01, get-sublist,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 20
Used lemmas: get-empty, getArray-one, getArray-zero, getArray-rec,
Used spec theorems:
- list/javavalues/firsteq-01
Used simplifier rules:
- list/javavalues/app-03
- int-abs/mone-05
- oelem/intlista/ls-le
- list/javavalues/in-08
- intnat/abs-succ-03
- nat-basic2/s
- intnat/labs
- int-abs/abs-16
- oelem/intlista/irreflexivity
- nat-basic2/a
- nat-basic2/c
- list/javavalues/in-15
- list/javavalues/in-17
- list/javavalues/in-append
- int-abs/numleledel-01
- int-basic1/ls-01
- int-basic1/numlslsdel-01
- int-abs/lels-01
- int-abs/numle-03
- int-abs/zero-gels-02
- int-basic2/zero-02
- int-abs/numle-02
- int-basic1/forward-pos
- int-basic2/ax-04
- int-abs/numsub
- list/javavalues/Last
- list/javavalues/c-06
- list/javavalues/a
- list/javavalues/in-14
- list/javavalues/c
- list-data/javavalues/elim-list-c
- int-abs/bet
- int-abs/lels-02
- int-abs/anti
- list/javavalues/rest
- int-abs/lels
- int-abs/forward-le-01
- int-basic2/add-c
- int-basic2/add-a
- int-abs/mone-06
- int-abs/numls-02
- int-abs/forward-le-05
- int-abs/elim-sub