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Proof step 98 from proof refine-truncate (previous step)

# links(ino1, dirs) = files[ino1].nlink, files[ino1] = mkfile(m, md, files[ino1].nlink, content), buf-opt = none, err = ESUCCESS, fs = abs-files(files), ino = 0, ino0 = 0, inode = mkinode(ino1, md, false, files[ino1].nlink, 0, m), root.dir?, dom of < ino3, 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), pw(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ files, ROOT_INO ∈ dirs, ¬ root[path].dir?, ¬ ino1 ∈ dirs, psynced → asynced0 ⊦ [afs_truncate_internal#(n, m / VFS_PAGE_SIZE; inode, buf-opt, ino0, ino, isdir, err, dirs, files; asynced)] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_truncate#(path, n, user, root, abs-of(of); err1, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err1))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 99:
# links(ino1, dirs) = m1, files[ino1] = mkfile(m, md, m1, content), files[ino1] = mkfile(m0, md0, m1, content0), buf-opt = none, err = ESUCCESS, fs = abs-files(files), ino = 0, ino0 = 0, inode = mkinode(ino1, md, false, m1, 0, m), root.dir?, dom of < ino3, 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), pw(user, md), px-parent(user, path, ROOT_INO, dirs, files), ROOT_INO ∈ dirs, ino1 ∈ files, psynced → asynced0 ⊦ [afs_truncate_internal#(n, m / VFS_PAGE_SIZE; inode, buf-opt, ino0, ino, isdir, err, dirs, files; asynced)] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_truncate#(path, n, user, root, abs-of(of); err1, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err1)), root[path].dir?, ino1 ∈ dirs

Rule argument

spec: abstract-file name: elim seq: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content) subst: [af, m, md, m0, content] → [files[ino1], m0, md0, m1, content0]

Additional information

Used simplifier rules: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content); (elim) Used terms: files[ino1], m0, md0, m1, content0