[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 120 from proof truncate-greater (previous step)

files[m0] = mkfile(m, md0, # links(m0, dirs), content), buf-opt = none, files0 = files, inode = mkinode(m0, md, false, # links(m0, dirs), 0, m3), old_ino = 0, old_ino0 = 0, pageno = m3 / VFS_PAGE_SIZE, m3 < n, afs-cons(dirs, files), m0 ∈ files ⊦ [choose err0 with ⌊err0⌋ in err := err0; asynced := ?] (err = ESUCCESS ⊃ files[inode.ino].content.stream to files[inode.ino].size = (files0[inode.ino].content.stream to m3) + (σ⊥ to (files[inode.ino].size - m3)) ∧ inode.ino ∈ files ∧ n = files[inode.ino].size ∧ files0[inode.ino].nlink = files[inode.ino].nlink ∧ files0 -- inode.ino = files -- inode.ino ;⌊err⌋ ∧ files0 = files ), VFS_PAGE_SIZE = 0

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Proof step 121:
files[m0] = mkfile(m, md0, # links(m0, dirs), content), buf-opt = none, files0 = files, inode = mkinode(m0, md, false, # links(m0, dirs), 0, m3), old_ino = 0, old_ino0 = 0, pageno = m3 / VFS_PAGE_SIZE, m3 < n, afs-cons(dirs, files), m0 ∈ files, ⌊err0⌋ ⊦ [err := err0; asynced := ?] (err = ESUCCESS ⊃ files[inode.ino].content.stream to files[inode.ino].size = (files0[inode.ino].content.stream to m3) + (σ⊥ to (files[inode.ino].size - m3)) ∧ inode.ino ∈ files ∧ n = files[inode.ino].size ∧ files0[inode.ino].nlink = files[inode.ino].nlink ∧ files0 -- inode.ino = files -- inode.ino ;⌊err⌋ ∧ files0 = files ), VFS_PAGE_SIZE = 0

Proof step 120 from proof truncate-greater (previous step)

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Rule argument

Additional information