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Proof step 104 from proof refine-readdir (previous step)

dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), root[path].dir?, 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), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ [fail#(; ; err)] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings1, err0)⟩ ((psynced → asynced) ∧ strings = strings1 ∧ err = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 105:
dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), root.dir?, root[path].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), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ [choose err0 with ⌊err0⌋ in err := err0] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings1, err0)⟩ ((psynced → asynced) ∧ strings = strings1 ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: fail#(; ; ERR){choose ERR0 with ⌊ERR0⌋ in ERR := ERR0};