[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 305 from proof write-prepost-partial (previous step)

of1[fd] = mkfile(m, mode, m0), err = err0, files = files1, n = n1, of = of1, afs-cons(dirs, files1), of-cons(of1, dirs, files1), fd ∈ of1, n1 ≤ # buf, ⌊err0⌋ ⊦ [skip] (err = ESUCCESS ⊃ (files[m].content.stream to files[m].size).buf = splice(buf, 0, (files1[m].content.stream to files1[m].size).buf, m0, n) ∧ of = of1[fd, of1[fd].pos:= (m0 + n)] ∧ n ≤ n1 ∧ m ∈ files1 ∧ m ∈ files ∧ files[m].meta = files1[m].meta ∧ files -- m = files1 -- m ∧ (mode = MODE_W ∨ mode = MODE_RW) ;files ~ files1 ∧ of1 = of ∧ (err = EBADFD ∧ (fd ∈ of → of[fd].mode ≠ MODE_W ∧ of[fd].mode ≠ MODE_RW) ∨ ⌊err⌋ ) ), n1 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic symbolic execution applied rule skip right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ files ~ files; (s)