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Proof step 2 from proof unique-01 (previous step)

unique_al(ax + (a × d)'), a ∈ ax ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
unique_al(ax + (a × d)'), unique_al(ax), a ∈ ax ⊦

Rule argument

Additional information

Used simplifier rules: unique: ⊦ unique_al(ax + p ') → unique_al(ax);%a: ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1; from specification list[assoclist]