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Proof step 1 from proof unique-01 (conclusion)

⊦ unique_al(ax + (a × d)') → ¬ a ∈ ax

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: unique: ⊦ unique_al(ax + p ') → unique_al(ax);% ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1;