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Proof step 8 from proof bufs-log-only-id-idx (previous step)

lpt1[m] = mklp(m3, m4, lpf0, m5), lpt1[nx.last] = mklp(m0, m1, lpf, m2), lpt0[nx.last] = mklp(m6, m7, lpf1, m8), id-idx(lpt0, lpt1) ⊦ m < # lpt1 ∧ (nx ≠ [] ∧ m = nx.last ∧ lpf = LP_GROUP_NODES ∨ lpf0 = LP_INDEX_NODES) ↔ m < # lpt0 ∧ (nx ≠ [] ∧ m = nx.last ∧ lpf1 = LP_GROUP_NODES ∨ lpt0[m].flags = LP_INDEX_NODES)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 9:
lpt0[nx.last] = mklp(m6, m7, lpf1, m8), lpt1[nx.last] = mklp(m0, m1, lpf, m2), lpt1[m] = mklp(m3, m4, lpf0, m5), lpt0[m] = mklp(m9, m10, lpf2, m11), id-idx(lpt0, lpt1) ⊦ m < # lpt1 ∧ (nx ≠ [] ∧ m = nx.last ∧ lpf = LP_GROUP_NODES ∨ lpf0 = LP_INDEX_NODES) ↔ m < # lpt0 ∧ (nx ≠ [] ∧ m = nx.last ∧ lpf1 = LP_GROUP_NODES ∨ lpf2 = LP_INDEX_NODES)

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] → [lpt0[m], m9, m10, lpf2, m11]

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: lpt0[m], m9, m10, lpf2, m11