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Proof step 18 from proof lebs-range-eq (previous step)

n0 + n < # avol1, n0 + n < m + m2, n0 + n < # avol0, range=(avol0, m, avol1, m, m2), m ≤ n0, range=(avol0, m, avol1, m, m2) ∧ n0 + n ≤ m + m2 ∧ m ≤ n0 → lebs(avol0, n0, n) = lebs(avol1, n0, n) ⊦ lebs(avol0, n0, n) + (avol0[n0 + n].mapped? ⊃ avol0[n0 + n].data + mkempbuf(LEB_SIZE - # avol0[n0 + n].data);mkempbuf(LEB_SIZE)) = lebs(avol1, n0, n) + (avol1[n0 + n].mapped? ⊃ avol1[n0 + n].data + mkempbuf(LEB_SIZE - # avol1[n0 + n].data);mkempbuf(LEB_SIZE))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
lebs(avol0, n0, n) = lebs(avol1, n0, n), n0 + n < # avol1, n0 + n < m + m2, n0 + n < # avol0, range=(avol0, m, avol1, m, m2), m ≤ n0 ⊦ (avol0[n0 + n].mapped? ⊃ avol0[n0 + n].data + mkempbuf(LEB_SIZE - # avol0[n0 + n].data);mkempbuf(LEB_SIZE)) = (avol1[n0 + n].mapped? ⊃ avol1[n0 + n].data + mkempbuf(LEB_SIZE - # avol1[n0 + n].data);mkempbuf(LEB_SIZE))

Rule argument

Additional information

Used simplifier rules: append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ buf + buf0 = buf + buf1 ↔ buf0 = buf1; (s)% ⊦ m < n → m ≤ n; (s)