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Proof step 11 from proof subset-del (previous step)

a ∈ x, a ∈ x → a ∈ y, ∀ a. a ∈ x → a ∈ y ⊦ ¬(∀ a0. a0 ∈ x → a0 ∈ y -l a)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
a ∈ x, a ∈ y, ∀ a. a ∈ x → a ∈ y, ∀ a0. a0 ∈ x → a0 ∈ y -l a ⊦

Rule argument

Additional information