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Proof step 6 from proof mapped-full-last (previous step)

m + n < # avol, n ≤ n0 ∧ ¬ n + m < n0 ∧ n0 < # avol → avol[m + n, mapped(buf)][n0].mapped? ∧ # avol[m + n, mapped(buf)][n0].data = LEB_SIZE, ∀ n0. n ≤ n0 ∧ ¬ n + m < n0 ∧ n0 < # avol → avol[m + n, mapped(buf)][n0].mapped? ∧ # avol[m + n, mapped(buf)][n0].data = LEB_SIZE ⊦ n0 = m + n, # buf = LEB_SIZE ∧ (n ≤ n0 ∧ n0 < n + m ∧ n0 < # avol → avol[n0].mapped? ∧ # avol[n0].data = LEB_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
m + n < # avol, n ≤ n0 ∧ ¬ n + m < n0 ∧ n0 < # avol → avol[n0].mapped? ∧ # avol[n0].data = LEB_SIZE, ∀ n0. n ≤ n0 ∧ ¬ n + m < n0 ∧ n0 < # avol → avol[m + n, mapped(buf)][n0].mapped? ∧ # avol[m + n, mapped(buf)][n0].data = LEB_SIZE ⊦ n0 = m + n, # buf = LEB_SIZE ∧ (n ≤ n0 ∧ n0 < n + m ∧ n0 < # avol → avol[n0].mapped? ∧ # avol[n0].data = LEB_SIZE)

Rule argument

Additional information

Used simplifier rules: ⊦ m ≠ n → avol[n, aleb][m] = avol[m]; (s)