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Proof step 21 from proof rm-size-01 (previous step)

∀ a, y. a ∈ x0 → # rmdup(x0 + a ' + y) = # rmdup(x0 + y), a = a0 ∨ a ∈ x0 ⊦ a ∈ x0, # rmdup((a0 ' + x0) + a ' + y) = # rmdup((a0 ' + x0) + y)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information