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Proof step 9 from proof inv-enter-readonly (previous step)

# buf = EB_PAGE_SIZE, avol[m1] = mapped(buf0), m1 < # avol, wbuf-cons(mkwbuf(buf, m, m0), mapped(buf0), rofs) ⊦ wbuf-cons(mkwbuf(buf, m, m0), mapped(buf0), true)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ 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 11:
# buf = EB_PAGE_SIZE, avol[m1] = mapped(buf0), m1 < # avol, wbuf-cons(mkwbuf(buf, m, m0), mapped(buf0), rofs) ⊦ mapped(buf0).mapped? ∧ mkwbuf(buf, m, m0).nbytes < # mkwbuf(buf, m, m0).content ∧ # mkwbuf(buf, m, m0).content = EB_PAGE_SIZE ∧ (¬ true → # mapped(buf0).data = mkwbuf(buf, m, m0).offset) ∧ (true → mkwbuf(buf, m, m0).offset ≤ # mapped(buf0).data) ∧ is-aligned(mkwbuf(buf, m, m0).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] → [true, mapped(buf0), mkwbuf(buf, m, m0)] flags: <all paths>

Additional information

Used terms: true, mapped(buf0), mkwbuf(buf, m, m0)