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Proof step 191 from proof refine-writemeta (previous step)

root[path].dir? ↔ ino1 ∈ dirs, 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), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ⟪fail#(; ; err); fs := abs-files(files); err1 := err; if err1 = ESUCCESS then if pw(user, inode.meta) then {inode.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 weak unfold applied rule call right

And obtained the following new goals

Proof step 192:
root[path].dir? ↔ ino1 ∈ dirs, 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), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ⟪choose err0 with ⌊err0⌋ in err := err0; fs := abs-files(files); err1 := err; if err1 = ESUCCESS then if pw(user, inode.meta) then {inode.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)

Rule argument

pos: right 1

Additional information

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