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Proof step 3 from proof rm-size-02 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
a ∈ y, ∀ a, y. a ∈ y → # rmdup(x0 + a ' + y) = # rmdup(x0 + y) ⊦ # rmdup((a0 ' + x0) + a ' + y) = # rmdup((a0 ' + x0) + y)

Rule argument

Additional information

Used simplifier rules: a: ⊦ (x + y) + z = x + y + z; from specification list%c: ⊦ a + x = a ' + x; from specification list