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Proof step 4 from proof writepage-prepost (previous step)

files0 = files, ((m0 =>mkfile(n2, md, m1, σ) * F))(files), afs-cons(dirs, files), m0 ∈ files, n0 + n1 ≤ VFS_PAGE_SIZE, m + n1 ≤ # buf ⊦ [vfs_writepage#(mkinode(m0, md0, boolvar, m2, m3, m4), n, buf, m, n0, n1, dirs; err, files, asynced)] ( err = ESUCCESS ∧ ((m0 =>mkfile(n2, md, m1, (σ to n * VFS_PAGE_SIZE + n0) + ((⌜buf⌝ from m) to n1) + (σ from n * VFS_PAGE_SIZE + n0 + n1)) * F))(files) ∨ ⌊err⌋ ∧ files0 = files)

User applied rule call right

And obtained the following new goals

Proof step 5:
buf0 = buf, files0 = files, ino = n0, ino0 = m, inode = mkinode(m0, md0, boolvar, m2, m3, m4), n = n1, pageno = n3, ((m0 =>mkfile(n2, md, m1, σ) * F))(files), afs-cons(dirs, files), m0 ∈ files, m + n1 ≤ # buf, n0 + n1 ≤ VFS_PAGE_SIZE ⊦ [let buf = mkbuf(VFS_PAGE_SIZE) in {afs_readpage#(inode, pageno, dirs, files, asynced; buf, err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {buf := copy(buf0, ino0, buf, ino, n); afs_writepage#(inode, pageno, buf, dirs; err, files; asynced)}}] ( err = ESUCCESS ∧ ((m0 =>mkfile(n2, md, m1, (σ to n3 * VFS_PAGE_SIZE + n0) + ((⌜buf⌝ from m) to n1) + (σ from n3 * VFS_PAGE_SIZE + n0 + n1)) * F))(files) ∨ ⌊err⌋ ∧ files0 = files)

Rule argument

pos: right 1

Additional information

Used simplifier rules: vfs_writepage# (INODE, PAGENO, BUF, TOTAL, OFFSET, N, DIRS; ERR, FILES, ASYNCED) {let PBUF = mkbuf(VFS_PAGE_SIZE) in {afs_readpage#(INODE, PAGENO, DIRS, FILES, ASYNCED; PBUF, ERR); if ERR = ESUCCESS then afs_check_commit#(DIRS, FILES; ERR; ASYNCED); if ERR = ESUCCESS then {PBUF := copy(BUF, TOTAL, PBUF, OFFSET, N); afs_writepage# (INODE, PAGENO, PBUF, DIRS; ERR, FILES; ASYNCED)}} };