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Proof step 1 from proof heap-order-pull-down-parent (conclusion)
⊦ heap-order(kar, n) ∧ m < n ∧ m ≠ 0 ∧ n ≤ # kar ∧ kar[(m - 1) / 2] = ki → heap-order(kar[m, ki], n)
System applied rule normalize
And obtained the following new goals
Proof step 2
:
kar[(m - 1) / 2] = ki, m < n, heap-order(kar, n), n ≤ # kar ⊦ m = 0, heap-order(kar[m, ki], n)
Rule argument
Additional information