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Theorem validreflist-getarray-less-01
⊦ j + i < st[r -- _length '] .intval ∧ 0 ≤ i ∧ 0 ≤ j ∧ is_reftype(ty) ∧ validrefnotnull(str, r, mkarraytype(ty), st) → validreflist(str, getarray(r, j, i, st), ty, st)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
validreflist-getarray-less
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 11
Proof steps: 24
Used lemmas:
validref-arrayreftype
,
junkref-array
,
junkref-is-junk
,
validref-junkref
,
validref-noreftype
,
validref-null
,
validref-forward-array-01
,
validrefnotnull-def
,
validreflist-rec
,
validreflist-empty
,
validrefnotnull-notnull
,
Used spec theorems:
storearrays
/
get-rec-01
Used simplifier rules:
addfuns
/
is_valid_ref-isarray
int-abs
/
forward-le-05
valuefuns
/
refval-xtra
int-abs
/
zero-gs
int-basic2
/
ls
int-abs
/
forward-lsle
int-abs
/
lels-04
int-abs
/
lels-01
int-abs
/
lels-03
intnat
/
rax-04
nat-basic2
/
s
intnat
/
labs
int-abs
/
absle
oelem
/intlista/
irreflexivity
nat-basic2
/
a
nat-basic2
/
c
int-abs
/
numleledel-01
int-abs
/
numle-02
int-abs
/
mone-06
int-abs
/
numls-02
int-abs
/
elim-sub
int-abs
/
lels
int-abs
/
anti
int-basic2
/
ax-04
int-basic2
/
add-a
int-basic2
/
add-c
storearrays
/
get-zero
int-abs
/
forward-le-01
storefuns
/
lookup-one