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Theorem shift-1dim-01
⊦ r ≠ r0 → (addarray(r, val0, i, st)[r0 -- sk, val]) = addarray(r, val0, i, st[r0 -- sk, val])
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
add-put-switch
,
shift-1dim
,
switch-addarray-addobj-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas:
1dim-01
,
addarray-base
,
addarray-rec
,
Used spec theorems:
store
/javastore/
rew
Used simplifier rules:
intnat
/
rax-04
nat-basic2
/
s
intnat
/
labs
int-abs
/
absle
oelem
/intlista/
irreflexivity
nat-basic2
/
a
nat-basic2
/
c
refkey
/
inj-01
refkey
/
inj
int-abs
/
forward-le-01
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
mone-06
int-abs
/
numls-02
int-abs
/
elim-sub
int-abs
/
forward-le-05
int-abs
/
ax-02
int-abs
/
lels