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Proof step 22 from proof lebs-range-eq (previous step)

lebs(avol0, n0, n) = lebs(avol1, n0, n), n0 + n < m + m2, n0 + n < # avol1, n0 + n < # avol0, m + m2 ≤ # avol1, m + m2 ≤ # avol0, m ≤ n0, ∀ n. n < m2 → avol0[m + n] = avol1[m + n] ⊦ (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))

User applied rule all left

And obtained the following new goals

Proof step 23:
lebs(avol0, n0, n) = lebs(avol1, n0, n), n0 + n < # avol0, n0 + n < # avol1, n0 + n < m + m2, m ≤ n0, m + m2 ≤ # avol0, m + m2 ≤ # avol1, n0 + n - m < m2 → avol0[m + (n0 + n - m)] = avol1[m + (n0 + n - m)] ⊦ (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

pos: left 8 terms: n0 + n - m abort: F discard: T computed: F

Additional information

Used terms: n0 + n - m