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Proof step 4 from proof bin-heap-inv-cleanup-lpt (previous step)

⊦ bin-heap-inv(gch, lpt.map(λ lp. (lp.ref-size = 0 ∧ lp.flags ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, lp.gcheapidx);lp))) ↔ gch.size ≤ # gch.ar ∧ no-dups-idx(gch.ar, gch.size) ∧ valid-idx(gch.ar, lpt, gch.size) ∧ 2exp-size(# gch.ar) ∧ heap-order(gch.ar, gch.size)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ bin-heap-inv(gch, lpt.map(λ lp. (lp.ref-size = 0 ∧ lp.flags ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, lp.gcheapidx);lp))) ↔ gch.size ≤ # gch.ar ∧ no-dups-idx(gch.ar, gch.size) ∧ valid-idx(gch.ar, lpt, gch.size) ∧ 2exp-size(# gch.ar) ∧ heap-order(gch.ar, gch.size)

Proof step 4 from proof bin-heap-inv-cleanup-lpt (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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