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Proof step 3 from proof at-put-01 (previous step)

∀ a, d. ax0[a, d][a] = d ⊦ (p ' + ax0)[a, d][a] = d

User applied rule structural induction

And obtained the following new goals

Proof step 4:
∀ a, d. ax0[a, d][a] = d ⊦ ((a0 × d0)' + ax0)[a, d][a] = d

Rule argument

indvar: p

Additional information

Used simplifier rules: pair freely generated by ×;;