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Proof step 7 from proof abs-dnode-emp (previous step)

∃ ad. ad.entries = ∅ ∧ ((ino => ad))(dirs) ∧ ad.meta = md ∧ ad.size = # ad.entries ⊦ ∃ ino1, ino0. ((ino => mkdir(0, md, ino1, ino0, ∅)))(dirs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
ad.entries = ∅, ad.size = 0, ((ino => ad))(dirs) ⊦ ∃ ino1, ino0. ((ino => mkdir(0, ad.meta, ino1, ino0, ∅)))(dirs)

Rule argument

Additional information

Used simplifier rules: ⊦ # ∅ = 0; (s)