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Proof step 1 from proof nuni (conclusion)

⊦ unique_al(ay + (a × d)' + az) → ¬ a ∈ ay

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
a ∈ ay, unique_al(ay + (a × d)' + az) ⊦ a ∈ az

Rule argument

Additional information

Used simplifier rules: nuni-01: ⊦ unique_al(ay + (a × d)' + az) → ¬ a ∈ az;% ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1;