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Proof step 44 from proof refine-readmeta (previous step)

dirs[m] = mkdir(# entries, md, # links(m, dirs), m2, entries), root[path].dir?, root.dir?, dom of < ino6, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, m, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), m ∈ dirs, psynced → asynced ⊦ ⟨posix_readmeta#(path, user, root, abs-files(files), abs-of(of); md0, ino4, ino3, err0)⟩ ((psynced → asynced) ∧ md = md0 ∧ m2 + 2 = ino4 ∧ # entries = ino3 ∧ ESUCCESS = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 45:
dirs[m] = mkdir(# entries, md1, # links(m, dirs), m2, entries), fs = abs-files(files), ino = ino3, ino0 = ino4, md = md0, ofh = abs-of(of), root.dir?, root[path].dir?, dom of < ino6, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, m, dirs, files), of-cons(of, dirs, files), pr(user, md1), px-parent(user, path, ROOT_INO, dirs, files), m ∈ dirs, psynced → asynced ⊦ ⟨choose err with pre-readmeta(path, err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then if root[path].dir? then md := root[path].meta, ino0 := # root[path].subdirs + 2, ino := # root[path].entries else let fid = root[path].fid in md := fs[fid].meta, ino0 := count(fid, root.fids), ino := # fs[fid].content⟩ ((psynced → asynced) ∧ md1 = md ∧ m2 + 2 = ino0 ∧ # entries = ino ∧ ESUCCESS = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: posix_readmeta#(PATH, USER, ROOT, FS, OFH; MD, NLINK, SIZE, ERR) {choose E with pre-readmeta(PATH, E, USER, ROOT, FS, OFH) in ERR := E; if ERR = ESUCCESS then if ROOT[PATH].dir? then MD := ROOT[PATH].meta, NLINK := # ROOT[PATH].subdirs + 2, SIZE := # ROOT[PATH].entries else let FID = ROOT[PATH].fid in MD := FS[FID].meta, NLINK := count(FID, ROOT.fids), SIZE := # FS[FID].content };