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Proof step 44 from proof recovery (previous step)

# 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), # buf0 ≤ LEB_SIZE, 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), buffered(n) ≠ bleb0 → is-aligned(# buf0, EB_PAGE_SIZE) ⊦ buf1 = buf0.align↓

User applied rule cut formula

And obtained the following new goals

Proof step 45:
# avol0 = # avol2, # avol1 = # avol2, # lpt1 = # avol2, # buf = EB_PAGE_SIZE, avol1[n] = mapped(buf1), buffered(n) = bleb0, mapped(buf0) = avol2[n], mapped(buf1) = avol0[n], n < # avol2, ebm-vol-inv(avol0), # buf0 ≤ LEB_SIZE, buffered(n) ≠ bleb0 → is-aligned(# buf0, EB_PAGE_SIZE), 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? ⊦ buf1 = buf0.align↓

Rule argument

fma: buffered(n) ≠ bleb0

Additional information

Used simplifier rules: ⊦ is-aligned(# buf, EB_PAGE_SIZE) → buf.align↓ = buf; (s) Used formulas: buffered(n) ≠ bleb0