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Proof step 26 from proof prepost-gcheap-add-log (previous step)

lpt[n0] = mklp(m, m0, lpf, m1), bh1 = gch, keyset(gch0) = gc-heap(lpt1, nx), keyset(gch) = gc-heap(lpt1, n0 ' + nx0), lpt2 = lpt, n0 < # lpt, bin-heap-inv(gch, lpt), bin-heap-inv(gch0, lpt1), id-idx(lpt1, lpt), ¬ dups(nx), ¬ dups(nx0), ¬ 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 ⊦ [gc_heap_insert#(key-index(m, n0); gch, lpt)] ( bin-heap-inv(gch, lpt) ∧ id-idx(lpt2, lpt) ∧ keyset(gch) = keyset(bh1) ++ key-index(m, n0) → ⟪log := nx0⟫ ( keyset(gch) = gc-heap(lpt1, log) ∧ id-idx(lpt1, lpt) ∧ ¬ dups(log) ∧ (∀ n. n ∈ log → n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES) ∧ ¬ # nx0 < # log))

User applied rule skip call

And obtained the following new goals

Rule argument

pos: right 1

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