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Proof step 109 from proof refine-add-log-leb (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf0 = EB_PAGE_SIZE, avol0[m5] = mapped(buf), avol0[m] = mapped(buf1), m < # avol1, m5 < # avol1, abs(avol1, buffered(m), mkwbuf(buf0, m4, m3), avol0, false), awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), synced(avol1), wbuf-cons(mkwbuf(buf0, m4, m3), mapped(buf1), false) ⊦ m = m5, m3 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 110:
⊦ 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 111:
# mkwbuf(buf0, m4, m3).content = EB_PAGE_SIZE, # buf0 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol0[m] = mapped(buf1), avol0[m5] = mapped(buf), mapped(buf1).mapped?, mkwbuf(buf0, m4, m3).nbytes < # mkwbuf(buf0, m4, m3).content, m5 < # avol1, m < # avol1, abs(avol1, buffered(m), mkwbuf(buf0, m4, m3), avol0, false), awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), is-aligned(mkwbuf(buf0, m4, m3).offset, EB_PAGE_SIZE), synced(avol1), ¬ false → # mapped(buf1).data = mkwbuf(buf0, m4, m3).offset, false → mkwbuf(buf0, m4, m3).offset ≤ # mapped(buf1).data ⊦ m = m5, m3 = 0

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] → [false, mapped(buf1), mkwbuf(buf0, m4, m3)] flags: <all paths>

Additional information

Used terms: false, mapped(buf1), mkwbuf(buf0, m4, m3)