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Theorem heap-order-overwrite0
n ≤ # kar, n ≠ 0 ⊦ heap-order(kar, n) ∧ ¬ kar[0].key < ki.key → heap-order(kar[0, ki], n)
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state:
bin-min-heap-prepost
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 18
Used lemmas:
heap-order
,
Used spec theorems:
Used simplifier rules:
nat
/
elim-pred-c
key-index
/
elim
nat-basic
/
one
oelem
/binheap-key/
nen
nat
/
fle
key-index
/
inj
array
/key-index-array/
cgetput
nat-basic
/
f
nat-basic
/
zero
oelem
/binheap-key/
nll
oelem
/binheap-key/
nnn
nat-div
/
two-zero-01-01
array
/key-index-array/
Put-other
nat-basic
/
oz
nat-basic
/
a
nat-basic
/
c
nat
/
add-01
nat-basic
/
add-base
key-index
/
sel-02