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Proof step 63 from proof refine-truncate (previous step)

files[ino1] = mkfile(m, md, # links(ino1, dirs), content), fs = abs-files(files), root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ files, ROOT_INO ∈ dirs, ¬ root[path].dir?, ¬ pw(user, md), ¬ ino1 ∈ dirs, psynced → asynced ⊦ ⟨posix_truncate#(path, n, user, root, abs-of(of); err0, fs; psynced)⟩ (fs = abs-files(files) ∧ (psynced → asynced) ∧ EACCESS = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 64:
files[ino1] = mkfile(m, md, # links(ino1, dirs), content), fs = abs-files(files), ofh = abs-of(of), root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), ROOT_INO ∈ dirs, ino1 ∈ files, psynced → asynced ⊦ ⟨choose err with pre-truncate(path, n, err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then let fid = root[path].fid in let buf = fs[fid].content in fs[fid].content := resize(buf, n); psynced := ?⟩ (fs = abs-files(files) ∧ (psynced → asynced) ∧ EACCESS = err0), root[path].dir?, pw(user, md), ino1 ∈ dirs

Rule argument

pos: right 1

Additional information

Used simplifier rules: posix_truncate#(PATH, N, USER, ROOT, OFH; ERR, FS; PSYNCED) {choose E with pre-truncate(PATH, N, E, USER, ROOT, FS, OFH) in ERR := E; if ERR = ESUCCESS then let FID = ROOT[PATH].fid in let BUF = FS[FID].content in FS[FID].content := resize(BUF, N); PSYNCED := ? };