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Proof step 9 from proof lpt-ram-flash-write-non-group (previous step)

# lpt0 = # lpt, lpt[n3] = mklp(m, m0, lpf0, m1), lpt0[n3] = mklp(m2, m3, LP_GROUP_NODES, m4), lpt[n, mklp(n0, n1, lpf, n2)][n3] = mklp(m5, m6, LP_GROUP_NODES, m7), 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 ⊦ lpf = LP_GROUP_NODES, m0 = m3, n3 = n, n3 ∈ nx

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
# lpt0 = # lpt, lpt[n3] = mklp(m, m0, LP_GROUP_NODES, m1), lpt0[n3] = mklp(m2, m3, LP_GROUP_NODES, 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 ⊦ lpf = LP_GROUP_NODES, m0 = m3, n3 = n, n3 ∈ nx

Rule argument

Additional information

Used simplifier rules: ⊦ mklp(m, m0, lpf, m1) = mklp(m2, m3, lpf0, m4) ↔ m = m2 ∧ m0 = m3 ∧ lpf = lpf0 ∧ m1 = m4; (ws)% ⊦ m ≠ n → lpt[n, lp][m] = lpt[m]; (s)