[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

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

files[ino0] = mkfile(m0, md0, # links(ino0, dirs), content0), buf-opt = none, err = ESUCCESS, inode = mkinode(ino0, md0, false, # links(ino0, dirs), 0, m0), afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ files, ¬ ino0 ∈ dirs ⊦ [afs_truncate#(n, m0 / VFS_PAGE_SIZE; buf-opt, inode, isdir0, err, dirs, files, bv)] (afs-cons(dirs, files) → of-cons(of, dirs, files))

User applied rule call right

And obtained the following new goals

Proof step 65:
isdir ↔ isdir0, asynced ↔ bv, files[ino0] = mkfile(m0, md0, # links(ino0, dirs), content0), buf-opt = none, err = ESUCCESS, inode = mkinode(ino0, md0, false, # links(ino0, dirs), 0, m0), pageno = m0 / VFS_PAGE_SIZE, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ files ⊦ [if pre-truncate(inode, n, pageno, buf-opt, dirs, files) then let ino0 = 0, ino = 0 in afs_truncate_internal#(n, pageno; inode, buf-opt, ino0, ino, isdir, err, dirs, files; asynced) else abort] (afs-cons(dirs, files) → of-cons(of, dirs, files)), VFS_PAGE_SIZE = 0, ino0 ∈ dirs

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_truncate# (N, PAGENO; PBUF-OPT, INODE, MODIFIED, ERR, DIRS, FILES, ASYNCED) {if pre-truncate(INODE, N, PAGENO, PBUF-OPT, DIRS, FILES) then let OFFSET = 0, SIZE = 0 in afs_truncate_internal# (N, PAGENO ; INODE, PBUF-OPT, OFFSET, SIZE, MODIFIED, ERR, DIRS, FILES ; ASYNCED) else abort };