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Proof step 1 from proof put-in-01 (conclusion)

⊦ m < # x → (a ∈ x[m, b] ↔ a = b ∨ a ∈ x -1l x[m])

System applied rule normalize

And obtained the following new goals

Proof step 2:
m < # x ⊦ a ∈ x[m, b] ↔ a = b ∨ a ∈ x -1l x[m]

Rule argument

Additional information