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Proof step 25 from proof refine-writemeta (previous step)

root[path].dir? ↔ ino1 ∈ dirs, err = err2, err1 = ESUCCESS, err2 = ESUCCESS, fs = abs-files(files), ino = ino1, 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), pre-iget(ino, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced ⊦ ⟪if pw(user, getinode(ino, dirs, files).meta) then {inode := getinode(ino, dirs, files).meta:= md; afs_check_commit#(dirs, files; err1; asynced); if err1 = ESUCCESS then afs_write_inode#(inode; err1, dirs, files; asynced)} else err1 := EACCESS⟫ ⟨posix_writemeta#(path, md, user, abs-of(of); err0, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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