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Proof step 9 from proof unique-02 (previous step)

unique_al(ax0), a0 × d1 ∈ ax0, ∀ a1, d2, d3. a1 × d2 ∈ ax0 ∧ a1 × d3 ∈ ax0 → d3 = d2 ⊦ ¬ a0 × d0 ∈ ax0, d1 = d0, a ∈ ax0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information