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Proof step 24 from proof inv-remap (previous step)

# lpt = # avol[m4, unmapped], # buf = EB_PAGE_SIZE, # lpt = # avol, m4 < # avol, ebm-vol-inv(avol[m4, unmapped]), ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], rofs), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ bleb = nobuffer, buffered(m4) = bleb, err0 = ESUCCESS, bleb.leb < # avol[m4, unmapped] ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[m4, unmapped][bleb.leb], rofs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
# lpt = # avol, # buf = EB_PAGE_SIZE, avol[bleb.leb] = mapped(buf0), m4 < # avol, bleb.leb < # avol, ebm-vol-inv(avol), ebm-vol-inv(avol[m4, unmapped]), wbuf-cons(mkwbuf(buf, m1, m2), mapped(buf0), rofs), ⌊err0⌋ ⊦ bleb = nobuffer, buffered(m4) = bleb, wbuf-cons(mkwbuf(buf, m1, m2), avol[m4, unmapped][bleb.leb], rofs)

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).mapped?; (s)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%wbuf-cons-mapped: ⊦ wbuf-cons(wbuf, aleb, boolvar) → aleb.mapped?; (forward) from specification wbuf-base% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ # avol[n, aleb] = # avol; (s)