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Proof step 2 from proof rm-rm-01 (previous step)

∀ y. rmdup(rmdup(x0) + y) = rmdup(x0 + y) ⊦ rmdup(rmdup(a + x0) + y) = rmdup((a + x0) + y)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ y. rmdup(rmdup(x0) + y) = rmdup(x0 + y) ⊦ rmdup(rmdup(a ' + x0) + y) = rmdup((a ' + x0) + y)

Rule argument

Additional information

Used simplifier rules: ⊦ a + x = a ' + x; (s)