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Proof step 6 from proof lpt-ram-flash-write-log-buf (previous step)

# lpt0 = # lpt, lpt0[n3].flags = LP_GROUP_NODES, lpt[n, mklp(m0, m1, lpf, m2)][n3] = mklp(m5, m6, LP_GROUP_NODES, m7), lpt[n] = mklp(n0, n1, lpf, n2), lpt[nx.last] = mklp(m, m3, lpf0, m4), n < # lpt, n3 < # lpt, ∀ n. n < # lpt ∧ lpt0[n].flags = LP_GROUP_NODES ∧ lpt[n].flags = LP_GROUP_NODES ∧ ¬ n ∈ nx → lpt[n].size = lpt0[n].size, nx ≠ [] ∧ n = nx.last ∧ lpf0 = LP_GROUP_NODES ∨ lpf = LP_INDEX_NODES ⊦ m6 = lpt0[n3].size, n3 ∈ nx

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
# lpt0 = # lpt, lpt[nx.last] = mklp(m, m3, lpf0, m4), lpt[n] = mklp(n0, n1, lpf, n2), lpt[n, mklp(m0, m1, lpf, m2)][n3] = mklp(m5, m6, LP_GROUP_NODES, m7), lpt0[n3] = mklp(m8, m9, lpf1, m10), lpf1 = LP_GROUP_NODES, n3 < # lpt, n < # lpt, ∀ n. n < # lpt ∧ lpt0[n].flags = LP_GROUP_NODES ∧ lpt[n].flags = LP_GROUP_NODES ∧ ¬ n ∈ nx → lpt[n].size = lpt0[n].size, nx ≠ [] ∧ n = nx.last ∧ lpf0 = LP_GROUP_NODES ∨ lpf = LP_INDEX_NODES ⊦ m6 = m9, n3 ∈ nx

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[n3], m8, m9, lpf1, m10]

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[n3], m8, m9, lpf1, m10