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Theorem getarray-put=set

⊦ i ≤ i0 ∧ i0 < i + j → getarray(r, i, j, st[r -- i0 ', val]) = (getarray(r, i, j, st)[i→n(i0 - i), val])

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 22
Used lemmas: getarray-put-01, get-length, get-zero, getArray-one, getArray-rec,
Used spec theorems:
- list-del/javavalues/put-last
- list-del/javavalues/put-butlast
Used simplifier rules:
- int-abs/lels-04
- intnat/abs-succ-03
- nat-basic2/s
- nat-basic2/a
- nat-basic2/c
- intnat/labs
- int-abs/absle
- int-abs/abs-16
- int-abs/lels-02
- int-basic2/ls
- int-basic1/ls-01
- int-abs/le-add
- int-abs/lels-01
- oelem/intlista/irreflexivity
- list/javavalues/app-03
- intnat/abs-eq
- int-abs/anti
- oelem/intlista/lel
- list/javavalues/Nil
- list/javavalues/a
- int-abs/ler
- int-abs/zero-gels-04
- int-basic2/zero-02
- int-abs/numls-02
- int-abs/succ-02
- int-basic2/ax-04
- int-abs/numsub
- int-basic1/forward-pos
- list/javavalues/Last
- int-basic2/add-in
- int-abs/sub-eq
- int-abs/lels
- int-abs/bet
- javastore/lookup-if
- refkey/inj-01
- storekey/inj-04
- int-basic2/eq
- int-abs/bet-01
- list-del/javavalues/put-one
- list/javavalues/c-04
- int-abs/forward-le-01
- int-abs/lep
- int-basic2/ls-01
- int-abs/forward-le-05
- int-basic2/add-c
- int-basic2/add-a
- int-basic2/ls-02
- int-abs/forward-lels
- int-abs/elim-sub