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Proof step 13 from proof lebs-size-mappedfull (previous step)

# lebs(avol, n, m0) = m0 * LEB_SIZE, n + m0 + 1 < # avol, n + m0 < # avol, ∀ n0. n ≤ n0 ∧ ¬ n + m0 < n0 ∧ n0 < # avol → avol[n0].mapped? ∧ # avol[n0].data = LEB_SIZE ⊦ # (avol[n + m0].mapped? ⊃ avol[n + m0].data + mkempbuf(LEB_SIZE - # avol[n + m0].data);mkempbuf(LEB_SIZE)) = LEB_SIZE

User applied rule case distinction

And obtained the following new goals

Proof step 14:
# lebs(avol, n, m0) = m0 * LEB_SIZE, avol[n + m0].mapped?, n + m0 < # avol, n + m0 + 1 < # avol, ∀ n0. n ≤ n0 ∧ ¬ n + m0 < n0 ∧ n0 < # avol → avol[n0].mapped? ∧ # avol[n0].data = LEB_SIZE ⊦ #(avol[n + m0].data + mkempbuf(LEB_SIZE - # avol[n + m0].data)) = LEB_SIZE

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ # mkempbuf(n) = n; (s)