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Proof step 7 from proof bin-heap-inv-write-other (previous step)

lpt[n] = mklp(m0, m1, lpf0, m2), gch = bin-heap(kar, m), keyset(gch) = gc-heap(lpt, nx, # lpt), n < # lpt ⊦ m ≤ # kar ∧ no-dups-idx(kar, m) ∧ valid-idx(kar, lpt[n, mklp(n0, n1, lpf1, n2)], m) ∧ 2exp-size(# kar) ∧ heap-order(kar, m) ↔ bin-heap-inv(gch, lpt), lpf0 = LP_GROUP_NODES

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
lpt[n] = mklp(m0, m1, lpf0, m2), keyset(bin-heap(kar, m)) = gc-heap(lpt, nx, # lpt), n < # lpt ⊦ m ≤ # kar ∧ no-dups-idx(kar, m) ∧ valid-idx(kar, lpt[n, mklp(n0, n1, lpf1, n2)], m) ∧ 2exp-size(# kar) ∧ heap-order(kar, m) ↔ bin-heap-inv(bin-heap(kar, m), lpt), lpf0 = LP_GROUP_NODES

Proof step 7 from proof bin-heap-inv-write-other (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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