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Proof step 50 from proof prepost-create-gcheap (previous step)

gc-heap(lpt2, log, n0) = keyset(gch), n0 < # lpt1, bin-heap-inv(gch, lpt1), id-idx(lpt2, lpt1) ⊦ gc-heap(lpt2, log, n0 + 1) = gc-heap(lpt2, log, n0), lpt1[n0].flags = LP_GROUP_NODES ∧ ¬ n0 ∈ log

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 51:
lpt1[n0] = mklp(m, m0, lpf, m1), gc-heap(lpt2, log, n0) = keyset(gch), n0 < # lpt1, bin-heap-inv(gch, lpt1), id-idx(lpt2, lpt1) ⊦ gc-heap(lpt2, log, n0 + 1) = gc-heap(lpt2, log, n0), lpf = LP_GROUP_NODES ∧ ¬ n0 ∈ log

Rule argument

spec: lprops name: elim seq: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1) subst: [lp, m, m0, lpf, m1] → [lpt1[n0], m, m0, lpf, m1]

Additional information

Used simplifier rules: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1); (elim) Used terms: lpt1[n0], m, m0, lpf, m1