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Proof step 4 from proof write-term (previous step)

dirs0 = dirs, afs-cons(dirs, files), of-cons(of, dirs, files), n ≤ # buf ⊦ ⟪if n ≤ # buf then {err := ESUCCESS; if ¬ fd ∈ of then err := EBADFD else if of[fd].mode ≠ MODE_W ∧ of[fd].mode ≠ MODE_RW then err := EBADFD else if n ≠ 0 then choose inode, isdir with true in {afs_iget#(of[fd].ino, dirs, files, asynced; inode, err); if err = ESUCCESS then if inode.directory then err := EISDIR else let ino2 = of[fd].pos, ino1 = of[fd].pos + n, ino0 = 0, pageno = 0, buf-opt = none in {if err = ESUCCESS then pageno := inode.size / VFS_PAGE_SIZE; if err = ESUCCESS then afs_truncate#(inode.size, pageno; buf-opt, inode, isdir, err, dirs, files, asynced); if err = ESUCCESS then vfs_write_loop#(ino2, inode, ino1, buf, dirs; ino0, err, files, asynced); if ino0 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n := ino0, ino1 := ino2 + 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 := (ino2 ≤ ino ⊃ ino - ino2;0), err := ESUCCESS; of[fd].pos := ino2 + n}}}} else abort⟫ (dirs0 = dirs)

Heuristic conditional right split applied rule if positive right

And obtained the following new goals

Proof step 5:
dirs0 = dirs, afs-cons(dirs, files), of-cons(of, dirs, files), n ≤ # buf ⊦ ⟪err := ESUCCESS; if ¬ fd ∈ of then err := EBADFD else if of[fd].mode ≠ MODE_W ∧ of[fd].mode ≠ MODE_RW then err := EBADFD else if n ≠ 0 then choose inode, isdir with true in {afs_iget#(of[fd].ino, dirs, files, asynced; inode, err); if err = ESUCCESS then if inode.directory then err := EISDIR else let ino2 = of[fd].pos, ino1 = of[fd].pos + n, ino0 = 0, pageno = 0, buf-opt = none in {if err = ESUCCESS then pageno := inode.size / VFS_PAGE_SIZE; if err = ESUCCESS then afs_truncate#(inode.size, pageno; buf-opt, inode, isdir, err, dirs, files, asynced); if err = ESUCCESS then vfs_write_loop#(ino2, inode, ino1, buf, dirs; ino0, err, files, asynced); if ino0 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n := ino0, ino1 := ino2 + 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 := (ino2 ≤ ino ⊃ ino - ino2;0), err := ESUCCESS; of[fd].pos := ino2 + n}}}⟫ (dirs0 = dirs)

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m ≤ n → (n < m ↔ false); (s)