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Proof step 15 from proof inv-move-buf (previous step)

# lpt = # avol, # buf = EB_PAGE_SIZE, avol[m4] = mapped(buf0), m4 < # avol, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], false), bleb = nobuffer ∨ m2 = 0 ⊦ bleb = buffered(m4), wbuf-cons(mkwbuf(buf, # buf0, 0), mapped(buf0), false)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ 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 17:
# buf = EB_PAGE_SIZE, # lpt = # avol, avol[m4] = mapped(buf0), m4 < # avol, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], false), bleb = nobuffer ∨ m2 = 0 ⊦ bleb = buffered(m4), mapped(buf0).mapped? ∧ mkwbuf(buf, # buf0, 0).nbytes < # mkwbuf(buf, # buf0, 0).content ∧ # mkwbuf(buf, # buf0, 0).content = EB_PAGE_SIZE ∧ (¬ false → # mapped(buf0).data = mkwbuf(buf, # buf0, 0).offset) ∧ (false → mkwbuf(buf, # buf0, 0).offset ≤ # mapped(buf0).data) ∧ is-aligned(mkwbuf(buf, # buf0, 0).offset, EB_PAGE_SIZE)

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(buf0), mkwbuf(buf, # buf0, 0)] flags: <all paths>

Additional information

Used terms: false, mapped(buf0), mkwbuf(buf, # buf0, 0)