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Proof step 13 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 ⊦ m ≤ # kar ∧ (∀ m0. m0 < m → kar[m0].idx < # lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE) ∧ lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[kar[m0].idx].gcheapidx = m0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
2exp-size(# kar), m0 < m, m0 < # kar, heap-order(kar, m), no-dups-idx(kar, m), valid-idx(kar, lpt, m), m ≤ # kar ⊦ kar[m0].idx < # lpt ∧ lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[kar[m0].idx].gcheapidx = m0

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ # lpt.mapIndices(ns, lptfun) = # lpt; (s)