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Proof step 48 from proof inv-allocate-ind (previous step)

# lpt0 = # avol0, # lpt = # avol0, lpt[n0] = mklp(0, m1, LP_FREE, m2), keyset(gch) = gc-heap(lpt, log0), n0 < # avol0, awbuf-inv(avol0[n0, mapped(mkbuf(0))], bleb), awbuf-inv(avol0, bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(false, bleb, lpt, avol0), bufs-log-only(bleb, log0, lpt), freelist-cons(lpt, n0 ' + nx0), log-group-block(log0, lpt), lpt-free-unref(lpt), lpt-free-unref(lpt0), lpt-leb-size(lpt), lpt-leb-size(lpt0), lpt-ram-flash(lpt, lpt0, log0), synced(avol0) ⊦ buffered(n0) = bleb, awbuf-inv(avol0[n0, mapped(mkbuf(0))], bleb) ∧ # lpt0 = # avol0[n0, mapped(mkbuf(0))] ∧ ( bleb = buffered(n0) ∨ (bleb = nobuffer ∨ is-aligned(# avol0[n0, mapped(mkbuf(0))][bleb.leb].data, EB_PAGE_SIZE)) ∧ n0 < # avol0[n0, mapped(mkbuf(0))] ∧ avol0[n0, mapped(mkbuf(0))][n0].mapped? ∧ 0 = # avol0[n0, mapped(mkbuf(0))][n0].data)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
# lpt = # avol0, # lpt0 = # avol0, lpt[n0] = mklp(0, m1, LP_FREE, m2), keyset(gch) = gc-heap(lpt, log0), n0 < # avol0, awbuf-inv(avol0, bleb), awbuf-inv(avol0[n0, mapped(mkbuf(0))], bleb), bin-heap-inv(gch, lpt), buf-ro-rw-mode(false, bleb, lpt, avol0), bufs-log-only(bleb, log0, lpt), freelist-cons(lpt, n0 ' + nx0), log-group-block(log0, lpt), lpt-free-unref(lpt0), lpt-free-unref(lpt), lpt-leb-size(lpt0), lpt-leb-size(lpt), lpt-ram-flash(lpt, lpt0, log0), synced(avol0) ⊦ bleb = nobuffer, buffered(n0) = bleb, is-aligned(# avol0[n0, mapped(mkbuf(0))][bleb.leb].data, EB_PAGE_SIZE)

Rule argument

Additional information

Used simplifier rules: ⊦ # mkbuf(n) = n; (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ m < # avol → avol[m, aleb][m] = aleb; (s)% ⊦ # avol[n, aleb] = # avol; (s)