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Proof step 162 from proof refine-writemeta (previous step)

files[m] = mkfile(m0, md0, # links(m, dirs), content), err0 = err1, 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, m, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs, files), m ∈ files, ROOT_INO ∈ dirs, ⌊err2⌋ , psynced → asynced0 ⊦ ∃ err. pre-writemeta(path, md, err, user, root, fs, ofh) ∧ ⟨err0 := err; if err0 = ESUCCESS then if root[path].dir? then root[path].meta := md else let fid = root[path].fid in fs[fid].meta := md; psynced := ?⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err2 = err0), root[path].dir?, m ∈ dirs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 163:
files[m] = mkfile(m0, md0, # links(m, 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, m, dirs, files), of-cons(of, dirs, files), pw(user, md0), px-parent(user, path, ROOT_INO, dirs, files), ROOT_INO ∈ dirs, m ∈ files, ⌊err2⌋ , ¬ root[path].dir?, ¬ m ∈ dirs, psynced → asynced0 ⊦ ∃ err. pre-writemeta(path, md, err, user, root, fs, abs-of(of)) ∧ ⟨err0 := err; if err0 = ESUCCESS then if root[path].dir? then root[path].meta := md else let fid = root[path].fid in fs[fid] := mkfile(md, fs[fid].content); psynced := ?⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err2 = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ f.meta:= md = mkfile(md, f.content); (s)