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Proof step 3 from proof nuni-01 (previous step)

∀ a, az, d. ¬(a ∈ az ∧ unique_al(ay0 + (a × d)' + az)), a ∈ az, unique_al((p + ay0) + (a × d)' + az) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
a ∈ az, unique_al((p ' + ay0) + (a × d)' + az), ∀ a0, az0, d0. ¬ a0 ∈ az0 ∨ ¬ unique_al(ay0 + (a0 × d0)' + az0) ⊦

Rule argument

Additional information

Used simplifier rules: a: ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1; from specification list[assoclista]%c: ⊦ p + ax = p ' + ax; from specification list[assoclista]