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Proof step 3 from proof abs-mapped-is-mapped-rev (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
# avol = # avol0, avol0[n] = mapped(buf), avol[n] = unmapped, wbuf = mkwbuf(buf0, m, m0), n < # avol0, ∀ n. n < # avol0 → (buffered(n) ≠ bleb → avol[n] = avol0[n]) ∧ (¬ rofs ∧ buffered(n) = bleb → avol[n] = abs⊕(avol0[n], wbuf)) ∧ ( rofs ∧ buffered(n) = bleb → m = # avol0[n].data ∧ avol[n] = abs⊕(avol0[n], wbuf) ∨ m < # avol0[n].data ∧ m + m0 < # avol0[n].data ∧ avol[n] = avol0[n] ∧ subarray(buf0, 0, m0) = subarray(avol0[n].data, m, m0)) ⊦

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