| # buf = # buf3, # avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, # buf3 = n0 + n, avol1[m2] = mapped(buf1), m2 < # avol1, abs(avol1, bleb, mkwbuf(buf2, m6, m4), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), range=(buf3, n, buf, n, n0), n ≤ # buf3, m0 + n ≤ LEB_SIZE, ⌊err0⌋ , bleb ≠ nobuffer → bleb.leb < # avol1 ∧ avol0[bleb.leb].mapped? ∧ m4 < EB_PAGE_SIZE ∧ (¬ rofs → # avol0[bleb.leb].data = m6) ∧ (rofs → m6 ≤ # avol0[bleb.leb].data) ∧ is-aligned(m6, EB_PAGE_SIZE) ⊦ ⟨awbuf_read_buf#(m2, m0, n, adr0, m5, plog0, avol1, lpt0, ns0, bleb, rofs; buf3; err1)⟩ (buf = buf3 ∧ err0 = err1) |
# buf = n0 + n, # avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, # buf3 = n0 + n, avol1[m2] = mapped(buf1), m2 < # avol1, abs(avol1, bleb, mkwbuf(buf2, m6, m4), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), range=(buf3, n, buf, n, n0), m0 + n ≤ LEB_SIZE, ⌊err0⌋ , bleb ≠ nobuffer → bleb.leb < # avol1 ∧ avol0[bleb.leb].mapped? ∧ m4 < EB_PAGE_SIZE ∧ (¬ rofs → # avol0[bleb.leb].data = m6) ∧ (rofs → m6 ≤ # avol0[bleb.leb].data) ∧ is-aligned(m6, EB_PAGE_SIZE) ⊦ ⟨awbuf_read_buf#(m2, m0, n, adr0, m5, plog0, avol1, lpt0, ns0, bleb, rofs; buf3; err1)⟩ (buf = buf3 ∧ err0 = err1)
Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)