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Proof step 64 from proof inv-truncate (previous step)

VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files[m] = mkfile(m1, md1, # links(m, dirs), content0), files0 = files [m, mkfile(m1, md1, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ], inode = mkinode(m, md, false, # links(m, dirs), 0, m2), afs-cons(dirs, files), m2 / VFS_PAGE_SIZE ∈ content0, m ∈ files, m2 ≤ n, m2 % VFS_PAGE_SIZE ≤ VFS_PAGE_SIZE ⊦ ⟪afs_inode_sync#(mkinode(m, md, false, # links(m, dirs), 0, n); dirs, files0); inode := (inode.ino ∈ dirs ⊃ mkinode(inode.ino, dirs[inode.ino].meta, true, dirs[inode.ino].nlink, dirs[inode.ino].nsubdirs, dirs[inode.ino].size) ;mkinode(inode.ino, files0[inode.ino].meta, false, files0[inode.ino].nlink, 0, files0[inode.ino].size) ); err := ESUCCESS; asynced := ?⟫ afs-cons(dirs, files0), m2 % VFS_PAGE_SIZE = 0, buf-opt.some?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 65:
VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files[m] = mkfile(m1, md1, # links(m, dirs), content0), files0 = files [m, mkfile(m1, md1, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ], inode = mkinode(m, md, false, # links(m, dirs), 0, m2), m2 % VFS_PAGE_SIZE ≠ 0, afs-cons(dirs, files), m ∈ files, m2 / VFS_PAGE_SIZE ∈ content0, m2 ≤ n, ¬ buf-opt.some? ⊦ ⟪afs_inode_sync#(mkinode(m, md, false, # links(m, dirs), 0, n); dirs, files0); inode := (inode.ino ∈ dirs ⊃ mkinode(inode.ino, dirs[inode.ino].meta, true, dirs[inode.ino].nlink, dirs[inode.ino].nsubdirs, dirs[inode.ino].size) ;mkinode(inode.ino, files0[inode.ino].meta, false, files0[inode.ino].nlink, 0, files0[inode.ino].size) ); err := ESUCCESS; asynced := ?⟫ afs-cons(dirs, files0)

Rule argument

Additional information

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