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Proof step 33 from proof prepost-create-gcheap (previous step)

# lpt1 = n1 + n0, lpt1[n0] = mklp(m, m0, LP_GROUP_NODES, m1), gc-heap(lpt2, log, n0) = keyset(gch), keyset(gch0) = gc-heap(lpt2, log, n0) ++ key-index(m, n0), n1 ≠ 0, bin-heap-inv(gch0, lpt), bin-heap-inv(gch, lpt1), id-idx(lpt1, lpt), id-idx(lpt2, lpt1), ¬ n0 ∈ log, ∀ ki. ki ∈ gc-heap(lpt2, log, ki.idx) → ki.idx ≠ n0 ⊦ ⟪n := n0 + 1⟫ (n ≤ # lpt ∧ gc-heap(lpt2, log, n) = keyset(gch0) ∧ # lpt < n1 + n)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 34:
# lpt1 = n1 + n0, lpt1[n0] = mklp(m, m0, LP_GROUP_NODES, m1), gc-heap(lpt2, log, n0) = keyset(gch), keyset(gch0) = gc-heap(lpt2, log, n0) ++ key-index(m, n0), bin-heap-inv(gch, lpt1), bin-heap-inv(gch0, lpt), id-idx(lpt2, lpt1), id-idx(lpt1, lpt), ∀ ki. ki ∈ gc-heap(lpt2, log, ki.idx) → ki.idx ≠ n0 ⊦ n1 = 0, n0 ∈ log, n0 + 1 ≤ # lpt ∧ gc-heap(lpt2, log, n0 + 1) = keyset(gch0) ∧ # lpt < n1 + n0 + 1

Proof step 33 from proof prepost-create-gcheap (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information