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Proof step 22 from proof writepage-prepost (previous step)

files0 = files, inode = mkinode(m0, md0, boolvar, m1, m2, m3), pageno = n, ((m0 =>mkfile(n0, md, m, σ) * F))(files), afs-cons(dirs, files), pre-writepage(inode, pageno, buf, dirs, files) ⊦ [fail#(; ; err); asynced := ?] ( err = ESUCCESS ∧ ((m0 =>mkfile(n0, md, m, (σ to n * VFS_PAGE_SIZE) + ⌜buf⌝ + (σ from VFS_PAGE_SIZE * n + VFS_PAGE_SIZE)) * F))(files) ∨ ⌊err⌋ ∧ files0 = files)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
# buf = VFS_PAGE_SIZE, ((m0 =>mkfile(n0, md, m, σ) * F))(files), afs-cons(dirs, files), m0 ∈ files ⊦ [fail#(; ; err); asynced := ?] ( err = ESUCCESS ∧ ((m0 =>mkfile(n0, md, m, (σ to n * VFS_PAGE_SIZE) + ⌜buf⌝ + (σ from VFS_PAGE_SIZE * n + VFS_PAGE_SIZE)) * F))(files) ∨ ⌊err⌋ )

Rule argument

Additional information

Used simplifier rules: ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ pre-writepage(inode, n, buf, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ # buf = VFS_PAGE_SIZE; (s)