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Theorem lookup-1dim-01
⊦ r ≠ r0 → (addarray(r, val, i, st)[r0 -- sk]) = st[r0 -- sk]
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
add-at
,
add-at-05
,
in-1dim
,
lookup-1dim
,
lookup-1dim-02
,
okarray-1dim-basic-01
,
okreftype-1dim-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas:
addarray-base
,
addarray-rec
,
Used spec theorems:
Used simplifier rules:
intnat
/
rax-04
nat-basic2
/
s
intnat
/
labs
int-abs
/
absle
oelem
/intlista/
irreflexivity
nat-basic2
/
a
nat-basic2
/
c
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
javastore
/
look-ins
int-abs
/
ax-02
int-abs
/
lels