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Theorem add-at-neg
⊦ i < 0 → (addarray(r, ty, vals, st)[r -- i ']) = st[r -- i ']
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
add-at-other-index
,
putarray-addarray-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas:
addarrayinit-base
,
addarrayinit-def
,
add-lastrec
,
Used spec theorems:
Used simplifier rules:
list-last
/javavalues/
lb
nat-basic1
/
one-01
nat
/
lels-01
nat
/
ls-01
nat-basic2
/
a
nat-basic2
/
c
nat
/
lels
nat
/
le-num-02
nat
/
lep-01
intnat
/
nat2int-08
list-data
/javavalues/
l
nat
/
elim-pred-c
storekey
/
inj-04
nat
/
pred-03
list-data
/javavalues/
size-01
javastore
/
lookup-if
refkey
/
inj-01
specialkeys
/
len
specialkeys
/
type-03
int-abs
/
forward-le-02