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Theorem replay-lpt-at
m < n, n ≤ # lpt ⊦ replay-lpt(lpt, nx, n)[m] = (lpt[m].flags = LP_FREE ∨ m ∈ nx ⊃ lpt[m] ;(lpt[m].flags = LP_INDEX_NODES ∧ lpt[m].ref-size ≠ 0 ⊃ lpt[m].size:= LEB_SIZE ;(lpt[m].ref-size = 0 ⊃ mklp(0, 0, LP_FREE, lpt[m].gcheapidx);lpt[m]) ) )
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
abs-gstore-crash
,
abs-gstore-replay-lpt-unchanged
,
abs-istore-crash
,
abs-istore-replay-lpt-unchanged
,
lpt-free-unref-replay-lpt
,
Used by units in proved state:
persistence-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 18
Proof steps: 36
Used lemmas:
replay-lpt-size
,
replay-lpt-at-above
,
replay-lpt-rec
,
replay-lpt-base
,
Used spec theorems:
array
/lp-array/
Put-other
Used simplifier rules:
nat
/
fle
nat-basic
/
f
lprops
/
elim
lprops
/
upd-05
nat
/
lez
nat-basic
/
zero-01
nat-basic
/
s-04
nat-basic
/
c
nat-basic
/
a
nat
/
le-ls-simp
nat
/
succ-01
nat-basic
/
succ
nat-basic
/
lf-02
lprops
/
disj-03
nat
/
lels-03
nat
/
lels
nat
/
ls-le-simp
array
/lp-array/
cgetput
nat
/
ler
lprops
/
inj
array
/lp-array/
Put-other
nat
/
anti