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Proof step 4 from proof diff-union (previous step)

∀ z. rmdup(y0) \ z = rmdup(y0 \ z) ⊦ rmdup(a + y0) \ z = rmdup((a + y0) \ z)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
∀ z. rmdup(y0) \ z = rmdup(y0 \ z) ⊦ rmdup(a ' + y0) \ z = rmdup((a ' + y0) \ z)

Rule argument

Additional information

Used simplifier rules: c: ⊦ a + x = a ' + x; from specification list