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Theorem bin-heap-inv-write-other
lpf0 ≠ LP_GROUP_NODES, n < # lpt ⊦ lpt[n] = mklp(m0, m1, lpf0, m2) ∧ keyset(gch) = gc-heap(lpt, nx) → (bin-heap-inv(gch, lpt[n, mklp(n0, n1, lpf1, n2)]) ↔ bin-heap-inv(gch, lpt))
Type: A user defined theorem
Validity: The proof is valid.
Features: s,
Comment:
Used by:
Used by units in proved state:
persistence-refine
,
persistence-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 19
Proof steps: 45
Used lemmas:
gc-heap-in-h
,
gc-heap
,
Used spec theorems:
bin-min-heap-prepost
/gc-heap-rename-gc-heap-base/
bin-heap-inv-def
bin-min-heap-inv
/gc-heap-rename-gc-heap-base/
valid-idx
array
/lp-array/
Put-other
bin-min-heap-prepost
/gc-heap-rename-gc-heap-base/
keyset
set-basic
/gc-heap-rename-gc-heap-base-keyindex-set/
Extension
bin-min-heap-inv
/gc-heap-rename-gc-heap-base/
key-set-extract-index
Used simplifier rules:
bin-min-heap
/gc-heap-base/
elim
array
/lp-array/
Size-put
nat-basic
/
f
lprops
/
elim
key-index
/gc-heap-rename-gc-heap-base/
elim
key-index
/gc-heap-rename-gc-heap-base/
sel-01
bin-min-heap
/gc-heap-base/
sel-01
bin-min-heap
/gc-heap-base/
sel-02
nat
/
le-def
oelem
/nat-set/
irreflexivity
elem-index
/gc-heap-base/
sel-01-M03
elem-index
/gc-heap-base/
sel-01-M01
nat
/
ler
nat-basic
/
lf-02
nat
/
fle
lprops
/
inj
array
/lp-array/
Put-same