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Proof step 26 from proof abs-unfold (previous step)

tree[p] = dnode(md, sdt), ((abs|(tree, ROOT_INO, p, ino) * ino => mkdir(# entries, md, # links(ino, dirs), m1, entries) * abs(sdt, entries)))(dirs), afs-cons(dirs, files), fids-cons(tree, abs-files(files), ofh), ispath(p, ROOT_INO, ino, dirs, files), p ∈ tree ⊦ abs(tree0, ROOT_INO)(dirs0), ∃ ino. ((abs|(tree, ROOT_INO, p, ino) * abs(dnode(md, sdt), ino)))(dirs), ∃ ad. ad.meta = md ∧ ad.size = # ad.entries ∧ (((ino => ad * abs(sdt, ad.entries)) * abs|(tree, ROOT_INO, p, ino)))(dirs)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 3 terms: mkdir(# entries, md, # links(ino, dirs), m1, entries)

Additional information

Used simplifier rules: ⊦ mkdir(m, md, m0, m1, entries).meta = md; (s)% ⊦ mkdir(m, md, m0, m1, entries).size = m; (s)% ⊦ mkdir(m, md, m0, m1, entries).entries = entries; (s)%sep-ass: ⊦ (D * D0) * D1 = D * D0 * D1; from specification heap-sep[dir-heap]%sep-com: ⊦ D * D0 = D0 * D; from specification heap-sep[dir-heap] Used terms: mkdir(# entries, md, # links(ino, dirs), m1, entries)