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Proof step 2 from proof refine-fsync (previous step)

fs = abs-files(files), ofh = abs-of(of), root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, fs, ofh), of-cons(of, dirs, files), psynced → asynced ⊦ ⟪vfs_fsync#(path, isdir, user, dirs, files; asynced; err)⟫ ⟨posix_fsync#(path, isdir, user, root, fs, ofh; ; psynced, err0)⟩ ((ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced)) ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ ⟪vfs_fsync#(path, isdir, user, dirs, files; asynced; err)⟫ ⟨posix_fsync#(path, isdir, user, root, abs-files(files), abs-of(of); ; psynced, err0)⟩ ((psynced → asynced) ∧ err = err0)

Proof step 2 from proof refine-fsync (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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