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Proof step 42 from proof recovery (previous step)

# avol0 = # avol2, # avol1 = # avol2, # lpt1 = # avol2, # buf = EB_PAGE_SIZE, avol1[n] = mapped(buf1), mapped(buf0) = avol2[n], mapped(buf1) = avol0[n], n < # avol2, ebm-vol-inv(avol0), bleb0 ≠ nobuffer → bleb0.leb < # avol2 ∧ wbuf-cons(mkwbuf(buf, m2, m3), avol0[bleb0.leb], rofs0), buffered(n) ≠ bleb0 → buf0 = buf1, ¬ rofs0 ∧ buffered(n) = bleb0 → buf0 = buf1 + subarray(buf, 0, m3), rofs0 ∧ buffered(n) = bleb0 → m2 = # buf1 ∧ buf0 = buf1 + subarray(buf, 0, m3) ∨ m2 < # buf1 ∧ m2 + m3 < # buf1 ∧ buf0 = buf1 ∧ subarray(buf, 0, m3) = subarray(buf1, m2, m3), bleb0 ≠ nobuffer → bleb0.leb < # avol2 ∧ avol2[bleb0.leb].mapped?, ∀ n. n < # avol2 ∧ avol2[n].mapped? → # avol2[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb0 → is-aligned(# avol2[n].data, EB_PAGE_SIZE)) ⊦ buf1 = buf0.align↓

User applied rule all left

And obtained the following new goals

Proof step 43:
# buf = EB_PAGE_SIZE, # lpt1 = # avol2, # avol1 = # avol2, # avol0 = # avol2, avol1[n] = mapped(buf1), mapped(buf1) = avol0[n], mapped(buf0) = avol2[n], n < # avol2, ebm-vol-inv(avol0), bleb0 ≠ nobuffer → bleb0.leb < # avol2 ∧ avol2[bleb0.leb].mapped?, rofs0 ∧ buffered(n) = bleb0 → m2 = # buf1 ∧ buf0 = buf1 + subarray(buf, 0, m3) ∨ m2 < # buf1 ∧ m2 + m3 < # buf1 ∧ buf0 = buf1 ∧ subarray(buf, 0, m3) = subarray(buf1, m2, m3), ¬ rofs0 ∧ buffered(n) = bleb0 → buf0 = buf1 + subarray(buf, 0, m3), buffered(n) ≠ bleb0 → buf0 = buf1, bleb0 ≠ nobuffer → bleb0.leb < # avol2 ∧ wbuf-cons(mkwbuf(buf, m2, m3), avol0[bleb0.leb], rofs0), n < # avol2 ∧ avol2[n].mapped? → # avol2[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb0 → is-aligned(# avol2[n].data, EB_PAGE_SIZE)) ⊦ buf1 = buf0.align↓

Rule argument

pos: left 15 terms: n abort: F discard: T computed: T

Additional information

Used terms: n