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Proof step 7 from proof rmdup-01 (previous step)

∀ a0. a0 ∈ x → a0 ∈ a ' + y0, ∀ x. (∀ a. a ∈ x → a ∈ rmdup(y0)) ↔ (∀ a. a ∈ x → a ∈ y0) ⊦ ∀ a0. a0 ∈ x → a0 ∈ rmdup(a ' + y0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information