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Theorem gc-heap-write-above
⊦ n < # lpt ∧ m ≤ n → gc-heap(lpt[n, lp], nx, m) = gc-heap(lpt, nx, m)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
gc-heap-free-h
,
gc-heap-update-h
,
gc-heap-update-log-h
,
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:
gc-heap-rec
,
gc-heap-base
,
Used spec theorems:
Used simplifier rules:
nat
/
fle-01
oelem
/nat-set/
transitivity
nat-basic
/
lf
nat-basic
/
f
nat-basic
/
c
nat-basic
/
a
nat
/
succ-01
nat-basic
/
succ
lprops
/
elim
nat
/
lels
nat
/
ls-le-simp
elem-index
/gc-heap-base/
sel-01-M01
elem-index
/gc-heap-base/
sel-01-M03
array
/lp-array/
Size-put
set-union
/gc-heap-rename-gc-heap-base-keyindex-set/
One
array
/lp-array/
ngp-07
nat
/
lels-03