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Proof step 46 from proof recovery (previous step)

# buf = EB_PAGE_SIZE, # lpt1 = # avol2, # avol1 = # avol2, # avol0 = # avol2, avol1[n] = mapped(buf1), avol2[n] = mapped(buf2), mapped(buf1) = avol0[n], n < # avol2, ebm-vol-inv(avol0), wbuf-cons(mkwbuf(buf, m2, m3), mapped(buf1), rofs0), # buf2 ≤ LEB_SIZE, rofs0 → m2 = # buf1 ∧ buf2 = buf1 + subarray(buf, 0, m3) ∨ m2 < # buf1 ∧ m2 + m3 < # buf1 ∧ buf2 = buf1 ∧ subarray(buf, 0, m3) = subarray(buf1, m2, m3), ¬ rofs0 → buf2 = buf1 + subarray(buf, 0, m3) ⊦ buf1 = buf2.align↓

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 47:
⊦ wbuf-cons(wbuf, aleb, rofs) ↔ aleb.mapped? ∧ wbuf.nbytes < # wbuf.content ∧ # wbuf.content = EB_PAGE_SIZE ∧ (¬ rofs → # aleb.data = wbuf.offset) ∧ (rofs → wbuf.offset ≤ # aleb.data) ∧ is-aligned(wbuf.offset, EB_PAGE_SIZE)
Proof step 48:
# mkwbuf(buf, m2, m3).content = EB_PAGE_SIZE, # avol0 = # avol2, # avol1 = # avol2, # lpt1 = # avol2, # buf = EB_PAGE_SIZE, avol2[n] = mapped(buf2), avol1[n] = mapped(buf1), mapped(buf1) = avol0[n], mapped(buf1).mapped?, mkwbuf(buf, m2, m3).nbytes < # mkwbuf(buf, m2, m3).content, n < # avol2, ebm-vol-inv(avol0), is-aligned(mkwbuf(buf, m2, m3).offset, EB_PAGE_SIZE), # buf2 ≤ LEB_SIZE, ¬ rofs0 → buf2 = buf1 + subarray(buf, 0, m3), rofs0 → m2 = # buf1 ∧ buf2 = buf1 + subarray(buf, 0, m3) ∨ m2 < # buf1 ∧ m2 + m3 < # buf1 ∧ buf2 = buf1 ∧ subarray(buf, 0, m3) = subarray(buf1, m2, m3), ¬ rofs0 → # mapped(buf1).data = mkwbuf(buf, m2, m3).offset, rofs0 → mkwbuf(buf, m2, m3).offset ≤ # mapped(buf1).data ⊦ buf1 = buf2.align↓

Rule argument

spec: wbuf-base name: wbuf-cons seq: ⊦ wbuf-cons(wbuf, aleb, rofs) ↔ aleb.mapped? ∧ wbuf.nbytes < # wbuf.content ∧ # wbuf.content = EB_PAGE_SIZE ∧ (¬ rofs → # aleb.data = wbuf.offset) ∧ (rofs → wbuf.offset ≤ # aleb.data) ∧ is-aligned(wbuf.offset, EB_PAGE_SIZE) subst: [rofs, aleb, wbuf] → [rofs0, mapped(buf1), mkwbuf(buf, m2, m3)] flags: <all paths>

Additional information

Used terms: rofs0, mapped(buf1), mkwbuf(buf, m2, m3)