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Proof step 28 from proof prepost-gcheap-add-log (previous step)

lpt[n0] = mklp(m, m0, lpf, m1), keyset(gch1) = keyset(gch) ++ key-index(m, n0), keyset(gch0) = gc-heap(lpt1, nx), keyset(gch) = gc-heap(lpt1, n0 ' + nx0), n0 < # lpt, bin-heap-inv(gch1, lpt0), bin-heap-inv(gch, lpt), bin-heap-inv(gch0, lpt1), id-idx(lpt, lpt0), id-idx(lpt1, lpt), ¬ dups(nx0), ¬ dups(nx), ¬ n0 ∈ nx0, ∀ n. n ∈ nx → n < # lpt1 ∧ lpt1[n].flags = LP_GROUP_NODES, ∀ n. n = n0 ∨ n ∈ nx0 → n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES, ∀ ki. ki ∈ keyset(gch) → ki.idx ≠ n0 ⊦ ⟪log := nx0⟫ ( keyset(gch) ++ key-index(m, n0) = gc-heap(lpt1, log) ∧ ¬ dups(log) ∧ (∀ n. n ∈ log → n < # lpt0 ∧ lpt0[n].flags = LP_GROUP_NODES) ∧ ¬ # nx0 < # log)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 29:
lpt[n0] = mklp(m, m0, lpf, m1), keyset(gch) = gc-heap(lpt1, n0 ' + nx0), keyset(gch0) = gc-heap(lpt1, nx), keyset(gch1) = keyset(gch) ++ key-index(m, n0), n0 < # lpt, bin-heap-inv(gch0, lpt1), bin-heap-inv(gch, lpt), bin-heap-inv(gch1, lpt0), id-idx(lpt1, lpt), id-idx(lpt, lpt0), ∀ ki. ki ∈ keyset(gch) → ki.idx ≠ n0, ∀ n. n = n0 ∨ n ∈ nx0 → n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES, ∀ n. n ∈ nx → n < # lpt1 ∧ lpt1[n].flags = LP_GROUP_NODES ⊦ dups(nx0), dups(nx), n0 ∈ nx0, keyset(gch) ++ key-index(m, n0) = gc-heap(lpt1, nx0) ∧ ¬ dups(nx0) ∧ (∀ n. n ∈ nx0 → n < # lpt0 ∧ lpt0[n].flags = LP_GROUP_NODES) ∧ ¬ # nx0 < # nx0

Proof step 28 from proof prepost-gcheap-add-log (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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