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Proof step 7 from proof avol-replay-lpt-unchanged-write-right (previous step)

# avol0 = # avol1, # lpt = # avol1, lpt[n] = mklp(m, m0, lpf, m1), n < # avol1, ∀ n. n < # avol1 ∧ (n ∈ nx ∨ lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n], aleb = avol0[n] ∨ ¬ n ∈ nx ∧ m = 0 ∧ lpf ≠ LP_FREE ⊦ ∀ n0. n0 < # avol1 ∧ (n0 ∈ nx ∨ lpt[n0].ref-size ≠ 0 ∨ lpt[n0].flags = LP_FREE) → avol0[n0] = avol1[n, aleb][n0]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
# avol0 = # avol1, # lpt = # avol1, lpt[n] = mklp(m, m0, lpf, m1), n < # avol1, n0 < # avol1, ∀ n. n < # avol1 ∧ (n ∈ nx ∨ lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n], aleb = avol0[n] ∨ ¬ n ∈ nx ∧ m = 0 ∧ lpf ≠ LP_FREE, n0 ∈ nx ∨ lpt[n0].ref-size ≠ 0 ∨ lpt[n0].flags = LP_FREE ⊦ avol0[n0] = avol1[n, aleb][n0]

Rule argument

Additional information

Used simplifier rules: lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic