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Proof step 1 from proof rm-rm-01 (conclusion)

⊦ rmdup(rmdup(x) + y) = rmdup(x + y)

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 2:
∀ y. rmdup(rmdup(x0) + y) = rmdup(x0 + y) ⊦ rmdup(rmdup(a + x0) + y) = rmdup((a + x0) + y)

Rule argument

term: x

Additional information

Used simplifier rules: rmdup-e: ⊦ rmdup([]) = [];%list freely generated by [], +;;%Nil: ⊦ [] + x = x; from specification list%a: ⊦ (x + y) + z = x + y + z; from specification list