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Proof step 108 from proof refine-readmeta (previous step)

files[m] = mkfile(m0, md, m1, content), root.dir?, dom of < ino6, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, m, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), m ∈ files, ROOT_INO ∈ dirs, psynced → asynced ⊦ ⟨posix_readmeta#(path, user, root, abs-files(files), abs-of(of); md0, ino4, ino3, err0)⟩ ((psynced → asynced) ∧ md = md0 ∧ m1 = ino4 ∧ m0 = ino3 ∧ ESUCCESS = err0), root[path].dir?, m ∈ dirs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 109:
files[m] = mkfile(m0, md, # links(m, dirs), content), root.dir?, dom of < ino6, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, m, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), m ∈ files, ROOT_INO ∈ dirs, ¬ root[path].dir?, ¬ m ∈ dirs, psynced → asynced ⊦ ⟨posix_readmeta#(path, user, root, abs-files(files), abs-of(of); md0, ino4, ino3, err0)⟩ ((psynced → asynced) ∧ md = md0 ∧ # links(m, dirs) = ino4 ∧ m0 = ino3 ∧ ESUCCESS = err0)

Rule argument

Additional information

Used simplifier rules: afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base