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Proof step 95 from proof inv-truncate (previous step)

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

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: afs-cons-inode-sync seq: afs-cons(dirs, files) ⊦ ⟪afs_inode_sync#(inode; dirs, files)⟫ afs-cons(dirs, files) subst: [inode, files, dirs] → [mkinode(m, md, false, # links(m, dirs), 0, n), files, dirs] flags: <all paths>

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