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Proof step 12 from proof subset-del (previous step)

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

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 4 terms: a

Additional information

Used simplifier rules: in-02: ⊦ ¬ a ∈ x -l a; from specification list-del Used terms: a