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Proof step 2 from proof at-put-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ a, d. ax0[a, d][a] = d ⊦ (p ' + ax0)[a, d][a] = d

Rule argument

Additional information

Used simplifier rules: ⊦ p + ax = p ' + ax;