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Proof step 4 from proof tree-fold-dnode (previous step)

((ino => mkdir(# entries, md, m, m0, entries) * abs(sdt, entries) * D))(dirs) ⊦ ∃ ad. ad.meta = md ∧ ad.size = # ad.entries ∧ (((ino => ad * abs(sdt, ad.entries)) * D))(dirs)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: mkdir(# entries, md, m, m0, 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, m, m0, entries)