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Proof step 7 from proof inv-add-log-leb (previous step)

# lpt = # avol, # wbuf.content = EB_PAGE_SIZE, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], false), bleb = buffered(m3) ∨ (bleb = nobuffer ∨ wbuf.nbytes = 0) ∧ m3 < # avol ∧ avol[m3].mapped? ∧ m0 = # avol[m3].data ⊦ ⟪apersistence_io_add_log_leb#(m3, adr, m, avol, lpt, ns; plog; err); rofs := false; if err = ESUCCESS then wbuf_move_buf#(m3, m0, rofs, avol; bleb, wbuf; err)⟫ (# wbuf.content = EB_PAGE_SIZE ∧ (bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], rofs)))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
# buf = EB_PAGE_SIZE, # lpt = # avol, wbuf = mkwbuf(buf, m1, m2), ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], false), bleb = buffered(m3) ∨ (bleb = nobuffer ∨ m2 = 0) ∧ m3 < # avol ∧ avol[m3].mapped? ∧ m0 = # avol[m3].data ⊦ ⟪apersistence_io_add_log_leb#(m3, adr, m, avol, lpt, ns; plog; err); rofs := false; if err = ESUCCESS then wbuf_move_buf#(m3, m0, rofs, avol; bleb, wbuf; err)⟫ (# wbuf.content = EB_PAGE_SIZE ∧ (bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(wbuf, avol[bleb.leb], rofs)))

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, 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, buf, m, m0