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Proof step 6 from proof abs-unbuffered (previous step)

# avol0 = # avol1, avol1[n] = mapped(buf), n < # avol1, ∀ n. n < # avol1 → (buffered(n) ≠ bleb → avol0[n] = avol1[n]) ∧ (¬ rofs ∧ buffered(n) = bleb → avol0[n] = abs⊕(avol1[n], wbuf)) ∧ ( rofs ∧ buffered(n) = bleb → wbuf.offset = # avol1[n].data ∧ avol0[n] = abs⊕(avol1[n], wbuf) ∨ wbuf.offset < # avol1[n].data ∧ wbuf.offset + wbuf.nbytes < # avol1[n].data ∧ avol0[n] = avol1[n] ∧ subarray(wbuf.content, 0, wbuf.nbytes) = subarray(avol1[n].data, wbuf.offset, wbuf.nbytes)) ⊦ avol0[n] = mapped(buf), bleb = buffered(n)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
# avol0 = # avol1, avol1[n] = mapped(buf), wbuf = mkwbuf(buf0, m, m0), n < # avol1, ∀ n. n < # avol1 → (buffered(n) ≠ bleb → avol0[n] = avol1[n]) ∧ (¬ rofs ∧ buffered(n) = bleb → avol0[n] = abs⊕(avol1[n], wbuf)) ∧ ( rofs ∧ buffered(n) = bleb → m = # avol1[n].data ∧ avol0[n] = abs⊕(avol1[n], wbuf) ∨ m < # avol1[n].data ∧ m + m0 < # avol1[n].data ∧ avol0[n] = avol1[n] ∧ subarray(buf0, 0, m0) = subarray(avol1[n].data, m, m0)) ⊦ avol0[n] = mapped(buf), bleb = buffered(n)

Rule argument

spec: wbuf name: elim seq: ⊦ (buf = wbuf.content ∧ m = wbuf.offset) ∧ m0 = wbuf.nbytes ↔ wbuf = mkwbuf(buf, m, m0) subst: [wbuf, buf, m, m0] → [wbuf, buf0, m, m0]

Additional information

Used simplifier rules: ⊦ (buf = wbuf.content ∧ m = wbuf.offset) ∧ m0 = wbuf.nbytes ↔ wbuf = mkwbuf(buf, m, m0); (elim) Used terms: wbuf, buf0, m, m0