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Proof step 4 from proof nuni-01 (previous step)

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

User applied rule constructor cut

And obtained the following new goals

Proof step 5:
p = a1 × d1, a ∈ az, unique_al((p ' + ay0) + (a × d)' + az), ∀ a0, az0, d0. ¬ a0 ∈ az0 ∨ ¬ unique_al(ay0 + (a0 × d0)' + az0) ⊦

Rule argument

var: p

Additional information

Used simplifier rules: pair freely generated by ×;;