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Proof step 1 from proof bin-heap-inv-cleanup-lpt (conclusion)

⊦ bin-heap-inv(gch, cleanup-lpt(lpt)) ↔ bin-heap-inv(gch, lpt)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ bin-heap-inv(gch, lpt.map(λ lp. (lp.ref-size = 0 ∧ lp.flags ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, lp.gcheapidx);lp))) ↔ bin-heap-inv(gch, lpt)

Rule argument

Additional information

Used simplifier rules: cleanup-lpt: ⊦ cleanup-lpt(lpt) = lpt .map (λ lp. (lp.ref-size = 0 ∧ lp.flags ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, lp.gcheapidx) ;lp ) );