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Proof step 112 from proof refine-readmeta (previous step)

files[m] = mkfile(m0, md1, # links(m, dirs), content), 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, md1), px-parent(user, path, ROOT_INO, dirs, files), ROOT_INO ∈ dirs, m ∈ files, ¬ root[path].dir?, ¬ m ∈ dirs, psynced → asynced ⊦ ∃ err. pre-readmeta(path, err, user, root, abs-files(files), abs-of(of)) ∧ ⟨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 := abs-files(files)[fid].meta, ino0 := count(fid, root.fids), ino := # abs-files(files)[fid].content⟩ ((psynced → asynced) ∧ md1 = md ∧ # links(m, dirs) = ino0 ∧ m0 = ino ∧ ESUCCESS = err0)

User applied rule exists right

And obtained the following new goals

Proof step 113:
files[m] = mkfile(m0, md1, # links(m, dirs), content), 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, md1), px-parent(user, path, ROOT_INO, dirs, files), m ∈ files, ROOT_INO ∈ dirs, psynced → asynced ⊦ pre-readmeta(path, ESUCCESS, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := ESUCCESS; 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 := abs-files(files)[fid].meta, ino0 := count(fid, root.fids), ino := # abs-files(files)[fid].content⟩ ((psynced → asynced) ∧ md1 = md ∧ # links(m, dirs) = ino0 ∧ m0 = ino ∧ ESUCCESS = err0), root[path].dir?, m ∈ dirs

Rule argument

pos: right 1 terms: ESUCCESS abort: F discard: T computed: T

Additional information

Used terms: ESUCCESS