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Proof step 1 from proof writepage-prepost (conclusion)

afs-cons(dirs, files), files0 = files, ((inode.ino =>mkfile(n0, md, m, σ) * F))(files) ⊦ [afs_writepage#(inode, n, buf, dirs; err, files; asynced)] ( err = ESUCCESS ∧ ((inode.ino =>mkfile(n0, md, m, (σ to n * VFS_PAGE_SIZE) + ⌜buf⌝ + (σ from (n + 1) * VFS_PAGE_SIZE)) * F))(files) ∨ ⌊err⌋ ∧ files0 = files)

System applied rule normalize

And obtained the following new goals

Proof step 2:
files0 = files, ((inode.ino =>mkfile(n0, md, m, σ) * F))(files), afs-cons(dirs, files) ⊦ [afs_writepage#(inode, n, buf, dirs; err, files; asynced)] ( err = ESUCCESS ∧ ((inode.ino =>mkfile(n0, md, m, (σ to n * VFS_PAGE_SIZE) + ⌜buf⌝ + (σ from (n + 1) * VFS_PAGE_SIZE)) * F))(files) ∨ ⌊err⌋ ∧ files0 = files)

Proof step 1 from proof writepage-prepost (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

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