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Theorem fits-put-other
⊦ ¬ (∃ sks0, sks1. sks = sks0 + (sk + sks1) ∧ st[r -- sks0] .refval = r0 ∧ (∀ sks2. sks2 + sk ⊑ sks0 → st[r -- sks2] .refval ≠ r0)) ∧ sk ≠ _type ∧ sk ≠ _length → (fits(r, sks, st[r0 -- sk, val]) ↔ fits(r, sks, st))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
hasSharing-put-index-refval
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 12
Proof steps: 32
Used lemmas:
fits-rec
,
fits-storekeys-rec
,
fits-storekeys-empty
,
Used spec theorems:
store
/javastore/
At-other
storefuns
/
lookup-rec-01
Used simplifier rules:
list-last
/storekeys/
prefix-rec-03
list-data
/storekeys/
elim-list-c
list-last
/storekeys/
prefix-one
list
/storekeys/
e-02
list
/storekeys/
app
storefuns
/
lookup-one
list-last
/storekeys/
prefix-one-01
list
/storekeys/
c-05
javatype
/
diff
storekey
/
test-02
int-abs
/
lels-04
int-abs
/
lels-03
storekey
/
test-01
javavalue
/
test-19
javavalue
/
elim-13
list
/storekeys/
Nil
list
/storekeys/
app-01
storefuns
/
lookup-empty
javavalue
/
sel-09
list-last
/storekeys/
prefix-empty
refkey
/
inj-01
store
/javastore/
At-same
refkey
/
inj
list
/storekeys/
e-01
list
/storekeys/
c-07
javastore
/
at-other-16
list
/storekeys/
c-08
list
/storekeys/
app-02-ant
list
/storekeys/
e
list
/storekeys/
a
int-abs
/
lels
int-abs
/
lels-01
storekey
/
test
list
/storekeys/
Last
list
/storekeys/
c