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Proof step 40 from proof inv-fsync (previous step)

⟨vfs_walk#(p, user, dirs, files, asynced; ino1, err)⟩ (ino1 = ino0 ∧ err = ESUCCESS), isdir ↔ isdir0, files[ino0] = mkfile(m, md, # links(ino0, dirs), content), err = ESUCCESS, ino1 = ROOT_INO, inode = mkinode(ino0, md, false, # links(ino0, dirs), 0, m), afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ files ⊦ ⟪if valid-file-inode(inode, dirs, files) then {fail_or_success#(; ; err); choose bv with true in asynced := bv} else abort; if err = ESUCCESS then afs_sync#(dirs, files; ; asynced, err)⟫ true, ino0 ∈ dirs

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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