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Proof step 35 from proof write-term (previous step)

of[fd] = mkfile(m, mode, m0), files[m] = mkfile(m1, md, # links(m, dirs), content), buf-opt = none, dirs0 = dirs, err = ESUCCESS, inode = mkinode(m, md, false, # links(m, dirs), 0, m1), n ≠ 0, afs-cons(dirs, files), of-cons(of, dirs, files), m ∈ files, fd ∈ of, n ≤ # buf ⊦ [afs_truncate#(m1, m1 / VFS_PAGE_SIZE; buf-opt, inode, isdir, err, dirs, files, asynced)] ( afs-cons(dirs, files) → ⟪ino0 := 0; if err = ESUCCESS then vfs_write_loop#(m0, inode, m0 + n, buf, dirs; ino0, err, files, asynced); if ino0 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n := ino0, ino1 := m0 + ino0; if ino0 ≠ 0 ∧ ino < ino1 then {inode.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)}; if err ≠ ESUCCESS then n := (m0 ≤ ino ⊃ ino - m0;0), err := ESUCCESS; of[fd].pos := m0 + n}⟫ (dirs0 = dirs)), mode ≠ MODE_W ∧ mode ≠ MODE_RW

User applied rule call right

And obtained the following new goals

Proof step 36:
files[m] = mkfile(m1, md, # links(m, dirs), content), of[fd] = mkfile(m, mode, m0), buf-opt = none, dirs0 = dirs, err = ESUCCESS, inode = mkinode(m, md, false, # links(m, dirs), 0, m1), n = m1, pageno = m1 / VFS_PAGE_SIZE, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of, m ∈ files, n0 ≤ # buf ⊦ [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) → ⟪ino0 := 0; if err = ESUCCESS then vfs_write_loop#(m0, inode, m0 + n0, buf, dirs; ino0, err, files, asynced); if ino0 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n0 := ino0, ino1 := m0 + ino0; if ino0 ≠ 0 ∧ ino < ino1 then {inode.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)}; if err ≠ ESUCCESS then n0 := (m0 ≤ ino ⊃ ino - m0;0), err := ESUCCESS; of[fd].pos := m0 + n0}⟫ (dirs0 = dirs)), VFS_PAGE_SIZE = 0, n0 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

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 };