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Proof step 71 from proof refine-readdir (previous step)

dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), err = ESUCCESS, strings = strings0, 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 ⊦ [afs_readdir#(mkinode(ino1, md, true, # links(ino1, dirs), m1, # entries), dirs, files, asynced; strings, err)] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings0, err0)⟩ ((psynced → asynced) ∧ strings = strings0 ∧ err = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 72:
dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), err = ESUCCESS, inode = mkinode(ino1, md, true, # links(ino1, dirs), m1, # entries), strings = strings1, strings0 = strings, 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 ⊦ [if pre-readdir(inode.ino, dirs, files) then {{strings0 := dom dirs[inode.ino].entries; err := ESUCCESS} or {choose strings with true in strings0 := strings; fail#(; ; err)}} else abort] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings1, err0)⟩ ((psynced → asynced) ∧ strings0 = strings1 ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_readdir#(INODE, DIRS, FILES, ASYNCED; NAMES, ERR) {if pre-readdir(INODE.ino, DIRS, FILES) then { {NAMES := dom DIRS[INODE.ino].entries; ERR := ESUCCESS} or {choose NAMES0 with true in NAMES := NAMES0; fail#(; ; ERR)}} else abort };