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Proof step 17 from proof lebs-range-eq (previous step)

n0 + n < # avol0, n0 + n < m + m2, n0 + n < # avol1, range=(avol0, m, avol1, m, m2), m ≤ n0, ∀ avol0, m, avol1, m2, 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))

User applied rule all left

And obtained the following new goals

Proof step 18:
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))

Rule argument

pos: left 6 terms: avol0, m, avol1, m2, n0 abort: F discard: T computed: T

Additional information

Used terms: avol0, m, avol1, m2, n0