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Proof step 4 from proof abs-dnode-emp (previous step)

⊦ _∃(λ ad. (⌜ad.entries = ∅⌝ ∧ ino => ad) ∧ ⌜ad.meta = md⌝ ∧ ⌜ad.size = # ad.entries⌝ ) = _∃(λ m, m0. ino => mkdir(0, md, m, m0, ∅))

User applied rule expand right

And obtained the following new goals

Proof step 5:
⊦ (_∃(λ ad. (⌜ad.entries = ∅⌝ ∧ ino => ad) ∧ ⌜ad.meta = md⌝ ∧ ⌜ad.size = # ad.entries⌝ ))(dirs) ↔ (_∃(λ m, m0. ino => mkdir(0, md, m, m0, ∅)))(dirs)

Rule argument

pos: right 1

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