[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 242 from proof refine-write-buf (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf1 = EB_PAGE_SIZE, avol0[m4] = mapped(buf2), m2 < EB_PAGE_SIZE, m2 + n < EB_PAGE_SIZE, m4 < # avol1, abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, false), awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(# buf2, EB_PAGE_SIZE), # avol1[m4].data + n ≤ LEB_SIZE, n ≤ # buf, # buf2 + m2 + n ≤ LEB_SIZE ⊦ (⌊ESUCCESS⌋ ∨ ESUCCESS = ESUCCESS) ∧ ⟨err := ESUCCESS; let m = buffered(m4).leb in {rofs := false; if err = ESUCCESS then avol1[m] := mapped(avol1[m].data + subarray(buf, 0, n)) else { {n0 := n; choose n1 with n1 ≠ 0 ∧ n1 < n0 ∧ is-aligned(# avol1[m].data + n1, EB_PAGE_SIZE) in avol1[m] := mapped(avol1[m].data + subarray(buf, 0, n1)) ifnone skip} or skip; rofs := true}}⟩ (abs(avol1, buffered(m4), mkwbuf(copy(buf, 0, buf1, m2, n), # buf2, m2 + n), avol0, false) ∧ ¬ rofs ∧ ESUCCESS = err)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 243:
# buf1 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol0[m4] = mapped(buf2), m4 < # avol1, m2 + n < EB_PAGE_SIZE, m2 < EB_PAGE_SIZE, abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, false), awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(# buf2, EB_PAGE_SIZE), # buf2 + m2 + n ≤ LEB_SIZE, n ≤ # buf, # avol1[m4].data + n ≤ LEB_SIZE ⊦ ⟨err := ESUCCESS; let m = buffered(m4).leb in {rofs := false; if err = ESUCCESS then avol1[m] := mapped(avol1[m].data + subarray(buf, 0, n)) else { {n0 := n; choose n1 with n1 ≠ 0 ∧ n1 < n0 ∧ is-aligned(# avol1[m].data + n1, EB_PAGE_SIZE) in avol1[m] := mapped(avol1[m].data + subarray(buf, 0, n1)) ifnone skip} or skip; rofs := true}}⟩ (abs(avol1, buffered(m4), mkwbuf(copy(buf, 0, buf1, m2, n), # buf2, m2 + n), avol0, false) ∧ ¬ rofs ∧ ESUCCESS = err)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)