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Proof step 14 from proof write-prepost-partial (previous step)

of1[fd] = mkfile(m, mode, m0), err = ESUCCESS, afs-cons(dirs, files1), of-cons(of1, dirs, files1), fd ∈ of1, n1 ≤ # buf ⊦ [afs_iget#(m, dirs, files1, asynced; inode, err); of := of1; n := n1; files := files1; 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}}] (err = ESUCCESS ⊃ (files[m].content.stream to files[m].size).buf = splice(buf, 0, (files1[m].content.stream to files1[m].size).buf, m0, n) ∧ of = of1[fd, of1[fd].pos:= (m0 + n)] ∧ n ≤ n1 ∧ m ∈ files1 ∧ m ∈ files ∧ files[m].meta = files1[m].meta ∧ files -- m = files1 -- m ∧ (mode = MODE_W ∨ mode = MODE_RW) ;files ~ files1 ∧ of1 = of ∧ (err = EBADFD ∧ (fd ∈ of → of[fd].mode ≠ MODE_W ∧ of[fd].mode ≠ MODE_RW) ∨ ⌊err⌋ ) ), n1 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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