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Proof step 10 from proof binheap-inv-remove-wbufs (previous step)

2exp-size(# kar), heap-order(kar, m), no-dups-idx(kar, m), valid-idx(kar, lpt, m), m ≤ # kar ⊦ bin-heap(kar, m).size ≤ # bin-heap(kar, m).ar ∧ no-dups-idx(bin-heap(kar, m).ar, bin-heap(kar, m).size) ∧ valid-idx(bin-heap(kar, m).ar, lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE), bin-heap(kar, m).size) ∧ 2exp-size(# bin-heap(kar, m).ar) ∧ heap-order(bin-heap(kar, m).ar, bin-heap(kar, m).size)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
2exp-size(# kar), heap-order(kar, m), no-dups-idx(kar, m), valid-idx(kar, lpt, m), m ≤ # kar ⊦ valid-idx(kar, lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE), m)

Rule argument

Additional information

Used simplifier rules: ⊦ bin-heap(kar, m).ar = kar; (s)% ⊦ bin-heap(kar, m).size = m; (s)