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Proof step 1 from proof in-05 (conclusion)

⊦ ¬ a ∈ y -1l b ∧ a ∈ y → a = b

System applied rule normalize

And obtained the following new goals

Proof step 2:
a ∈ y ⊦ a = b, a ∈ y -1l b

Rule argument

Additional information