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Proof step 5 from proof write-block-inv (previous step)

isdir ↔ bv, files = files1, ino = (ino2 + ino0) % VFS_PAGE_SIZE, ino0 = n2, ino1 = n1, ino2 = n0, n = min(ino1 - ino2 + ino0, VFS_PAGE_SIZE - ino), pageno = (ino2 + ino0) / VFS_PAGE_SIZE, write-inv(n0, n1, inode, buf, n2, dirs, files0, files1), VFS_PAGE_SIZE ≥ ino, ino1 ≥ ino2 + ino0 ⊦ [vfs_writepage#(inode, pageno, buf, ino0, ino, n, dirs; err, files, asynced); if err = ESUCCESS then ino0 := ino0 + n] write-inv(n0, n1, inode, buf, ino0, dirs, files0, files), VFS_PAGE_SIZE = 0, n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
min(n1 - n0 + n2, VFS_PAGE_SIZE - (n0 + n2) % VFS_PAGE_SIZE) ≠ 0, write-inv(n0, n1, inode, buf, n2, dirs, files0, files1), n0 + n2 ≤ n1 ⊦ [vfs_writepage# (inode, (n0 + n2) / VFS_PAGE_SIZE, buf, n2, (n0 + n2) % VFS_PAGE_SIZE, min(n1 - n0 + n2, VFS_PAGE_SIZE - (n0 + n2) % VFS_PAGE_SIZE), dirs ; err, files1, asynced); n := min(n1 - n0 + n2, VFS_PAGE_SIZE - (n0 + n2) % VFS_PAGE_SIZE); if err = ESUCCESS then n2 := n2 + n] write-inv(n0, n1, inode, buf, n2, dirs, files0, files1)

Rule argument

Additional information

Used simplifier rules: n ≠ 0 ⊦ m % n ≤ n; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)