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Proof step 12 from proof rm-in-02 (previous step)

a ∈ rmdup(x0), ∀ a. a ∈ rmdup(x0) ↔ a ∈ x0 ⊦ a ∈ rmdup(x0) ↔ a ∈ x0, a = a0, a0 ∈ x0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
a ∈ rmdup(x0), ∀ a. a ∈ rmdup(x0) ↔ a ∈ x0 ⊦ a = a0, a0 ∈ x0, a ∈ x0

Rule argument

Additional information