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Proof step 1 from proof abs-unfold-entry-p (conclusion)

⊦ str ∈ entries ∧ entries[str] ∈ dirs0 ∧ dirs1 ≡ dirs0[entries[str], ad] → (((abs(sdt, entries) * D))(dirs0) ↔ str ∈ sdt ∧ ((abs(sdt[str], entries[str]) * abs(sdt -- str, entries -- str) * D))(dirs0))

System applied rule normalize

And obtained the following new goals

Proof step 2:
str ∈ entries, entries[str] ∈ dirs0, dirs1 ≡ dirs0[entries[str], ad] ⊦ ((abs(sdt, entries) * D))(dirs0) ↔ str ∈ sdt ∧ ((abs(sdt[str], entries[str]) * abs(sdt -- str, entries -- str) * D))(dirs0)

Proof step 1 from proof abs-unfold-entry-p (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information