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Proof step 2 from proof nuni (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

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