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Proof step 4 from proof ins-twosame (previous step)

a0 ≠ b ⊦ a = b, stng[b, d][a, stng[a]][a0] = stng[a0]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ a0 = b, stng[b, d][a, stng[a]][a0] = stng[a0], a = b

Rule argument

Additional information