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Proof step 10 from proof subset-del (previous step)

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

Heuristic quantifier applied rule all left

And closed the goal!

Rule argument

pos: left 2 terms: a0

Additional information

Used simplifier rules: in-del-new: ⊦ a ∈ x -l b ↔ a ∈ x ∧ a ≠ b; from specification list-del Used terms: a0