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Proof step 1 from proof bin-heap-inv-write-other (conclusion)

lpf0 ≠ LP_GROUP_NODES, n < # lpt ⊦ lpt[n] = mklp(m0, m1, lpf0, m2) ∧ keyset(gch) = gc-heap(lpt, nx) → (bin-heap-inv(gch, lpt[n, mklp(n0, n1, lpf1, n2)]) ↔ bin-heap-inv(gch, lpt))

System applied rule normalize

And obtained the following new goals

Proof step 2:
lpt[n] = mklp(m0, m1, lpf0, m2), keyset(gch) = gc-heap(lpt, nx), n < # lpt ⊦ bin-heap-inv(gch, lpt[n, mklp(n0, n1, lpf1, n2)]) ↔ bin-heap-inv(gch, lpt), lpf0 = LP_GROUP_NODES

Proof step 1 from proof bin-heap-inv-write-other (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information