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Proof step 330 from proof refine-truncate (previous step)

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), ⌊err1⌋ , psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ pre-truncate(path, n, err1, user, root, fs, abs-of(of)) ∧ ⟨err0 := err1; if err0 = ESUCCESS then let fid = root[path].fid in let buf = fs[fid].content in fs[fid] := mkfile(fs[fid].meta, resize(buf, n)); psynced := ?⟩ (fs = abs-files(files) ∧ (psynced → asynced) ∧ err1 = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 331:
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), ⌊err1⌋ , psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ⟨err0 := err1; if err0 = ESUCCESS then let fid = root[path].fid in let buf = fs[fid].content in fs[fid] := mkfile(fs[fid].meta, resize(buf, n)); psynced := ?⟩ (fs = abs-files(files) ∧ (psynced → asynced) ∧ err1 = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → pre-truncate(p, n, err, user, root, fs, ofh); (s)