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Proof step 177 from proof refine-writemeta (previous step)

(ino1 ∈ dirs ⊃ mkinode(ino1, dirs[ino1].meta, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ) = mkinode(m, md0, boolvar, m0, m1, m2), root[path].dir? ↔ ino1 ∈ dirs, 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), psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ∃ 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) ∧ EACCESS = err0), pw(user, md0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 178:
(ino1 ∈ dirs ⊃ mkinode(ino1, dirs[ino1].meta, true, dirs[ino1].nlink, dirs[ino1].nsubdirs, dirs[ino1].size) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ) = mkinode(m, md0, boolvar, m0, m1, m2), root[path].dir? ↔ ino1 ∈ dirs, 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), ¬ pw(user, md0), psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ∃ err. pre-writemeta(path, md, err, user, root, fs, abs-of(of)) ∧ ⟨err0 := err; if err0 = ESUCCESS then if ino1 ∈ dirs 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) ∧ EACCESS = err0)

Rule argument

Additional information

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