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Proof step 8 from proof lebs-crash (previous step)

n + m0 < # avol0, n + m0 < # avol1, avol0 ⊆ avol1, ∀ n, avol0, avol1. n + m0 ≤ # avol0 ∧ avol0 ⊆ avol1 ∧ (∀ n0. n ≤ n0 ∧ n0 < n + m0 ∧ n0 < # avol0 → avol0[n0].mapped? ∧ # avol0[n0].data = LEB_SIZE) → lebs(avol1, n, m0) = lebs(avol0, n, m0), ∀ n0. n ≤ n0 ∧ ¬ n + m0 < n0 ∧ n0 < # avol0 → avol0[n0].mapped? ∧ # avol0[n0].data = LEB_SIZE ⊦ lebs(avol1, n, m0) + (avol1[n + m0].mapped? ⊃ avol1[n + m0].data + mkempbuf(LEB_SIZE - # avol1[n + m0].data);mkempbuf(LEB_SIZE)) = lebs(avol0, n, m0) + (avol0[n + m0].mapped? ⊃ avol0[n + m0].data + mkempbuf(LEB_SIZE - # avol0[n + m0].data);mkempbuf(LEB_SIZE))

User applied rule all left

And obtained the following new goals

Proof step 9:
n + m0 < # avol1, n + m0 < # avol0, avol0 ⊆ avol1, n + m0 ≤ # avol0 ∧ avol0 ⊆ avol1 ∧ (∀ n0. n ≤ n0 ∧ n0 < n + m0 ∧ n0 < # avol0 → avol0[n0].mapped? ∧ # avol0[n0].data = LEB_SIZE) → lebs(avol1, n, m0) = lebs(avol0, n, m0), ∀ n0. n ≤ n0 ∧ ¬ n + m0 < n0 ∧ n0 < # avol0 → avol0[n0].mapped? ∧ # avol0[n0].data = LEB_SIZE ⊦ lebs(avol1, n, m0) + (avol1[n + m0].mapped? ⊃ avol1[n + m0].data + mkempbuf(LEB_SIZE - # avol1[n + m0].data);mkempbuf(LEB_SIZE)) = lebs(avol0, n, m0) + (avol0[n + m0].mapped? ⊃ avol0[n + m0].data + mkempbuf(LEB_SIZE - # avol0[n + m0].data);mkempbuf(LEB_SIZE))

Rule argument

pos: left 4 terms: n, avol0, avol1 abort: F discard: T computed: F

Additional information

Used terms: n, avol0, avol1