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Proof step 3 from proof refine-move-buf (previous step)

# avol0 = # avol, # lpt0 = # avol, # wbuf.content = EB_PAGE_SIZE, bleb = bleb0, abs(avol, bleb0, wbuf, avol0, rofs), awbuf-inv(avol, bleb0), ebm-vol-inv(avol0), bleb0 ≠ nobuffer → bleb0.leb < # avol ∧ wbuf-cons(wbuf, avol0[bleb0.leb], rofs), bleb0 = buffered(m) ∨ (bleb0 = nobuffer ∨ is-aligned(# avol[bleb0.leb].data, EB_PAGE_SIZE)) ∧ m < # avol ∧ avol[m].mapped? ∧ m0 = # avol[m].data ⊦ ⟪wbuf_move_buf#(m, m0, rofs, avol0; bleb0, wbuf; err)⟫ ⟨awbuf_move_buf#(m, m0, adr0, m2, plog0, avol, lpt0, ns0, rofs; bleb; err0)⟩ (abs(avol, bleb0, wbuf, avol0, rofs) ∧ bleb = bleb0 ∧ err = err0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
# buf = EB_PAGE_SIZE, # lpt0 = # avol, # avol0 = # avol, bleb = bleb0, wbuf = mkwbuf(buf, m1, m3), abs(avol, bleb0, wbuf, avol0, rofs), awbuf-inv(avol, bleb0), ebm-vol-inv(avol0), bleb0 ≠ nobuffer → bleb0.leb < # avol ∧ wbuf-cons(wbuf, avol0[bleb0.leb], rofs), bleb0 = buffered(m) ∨ (bleb0 = nobuffer ∨ is-aligned(# avol[bleb0.leb].data, EB_PAGE_SIZE)) ∧ m < # avol ∧ avol[m].mapped? ∧ m0 = # avol[m].data ⊦ ⟪wbuf_move_buf#(m, m0, rofs, avol0; bleb0, wbuf; err)⟫ ⟨awbuf_move_buf#(m, m0, adr0, m2, plog0, avol, lpt0, ns0, rofs; bleb; err0)⟩ (abs(avol, bleb0, wbuf, avol0, rofs) ∧ bleb = bleb0 ∧ err = err0)

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, buf, m1, m2]

Additional information

Used simplifier rules: ⊦ (buf = wbuf.content ∧ m = wbuf.offset) ∧ m0 = wbuf.nbytes ↔ wbuf = mkwbuf(buf, m, m0); (elim) Used terms: wbuf, buf, m1, m2