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Proof step 90 from proof refine-link (previous step)

dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), root[q].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(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), py(user, parent(path'), root, abs-files(files)), ino1 ∈ dirs, psynced → asynced, ∀ q0. q0 ⊑ q → px(user, meta(q0, ROOT_INO, dirs, files)) ⊦ path' = ε, px(user, md)

User applied rule all left

And closed the goal!

Rule argument

pos: left 13 terms: q abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ p ⊑ p; (s)%⊦ ispath(p, n, m, dirs, files) → meta(p, n, dirs, files) = meta(ε, m, dirs, files); (s)% ⊦ ino ∈ dirs → meta(ε, ino, dirs, files) = dirs[ino].meta; (s)% ⊦ mkdir(m, md, m0, m1, entries).meta = md; (s) Used terms: q