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Proof step 11 from proof replay-lpt-at-above (previous step)

lpt[n0] = mklp(m0, m1, lpf, m2), lpf = LP_INDEX_NODES, n0 < # lpt, n0 < m, m < # lpt, n0 + 1 < # lpt, ∀ lpt, m, nx. n0 < # lpt ∧ m < # lpt ∧ n0 ≤ m → replay-lpt(lpt, nx, n0)[m] = lpt[m] ⊦ replay-lpt(lpt, nx, n0)[n0, mklp(m0, LEB_SIZE, LP_INDEX_NODES, m2)][m] = lpt[m], lpf = LP_FREE, m0 = 0, n0 ∈ nx

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
lpt[n0] = mklp(m0, m1, LP_INDEX_NODES, m2), n0 + 1 < # lpt, m < # lpt, n0 < m, n0 < # lpt, ∀ lpt, m, nx. n0 < # lpt ∧ m < # lpt ∧ n0 ≤ m → replay-lpt(lpt, nx, n0)[m] = lpt[m] ⊦ replay-lpt(lpt, nx, n0)[m] = lpt[m], m0 = 0, n0 ∈ nx

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → lpt[m, lp][n] = lpt[n]; (s)% ⊦ LP_FREE ≠ LP_INDEX_NODES; (s)