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Theorem heap-order-pull-down-parent
⊦ heap-order(kar, n) ∧ m < n ∧ m ≠ 0 ∧ n ≤ # kar ∧ kar[(m - 1) / 2] = ki → heap-order(kar[m, ki], n)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
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: 0
Proof steps: 20
Used lemmas:
heap-order
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
f
nat
/
elim-pred-c
nat
/
fle
key-index
/
elim
nat-basic
/
lf-02
array
/key-index-array/
cngetput
oelem
/binheap-key/
nll
array
/key-index-array/
Put-same
nat-div
/
two-neq-01
key-index
/
inj
oelem
/binheap-key/
lel
oelem
/binheap-key/
irreflexivity
nat-basic
/
eq-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