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Proof step 2 from proof del-addin (previous step)

⊦ a ∈ (s -- a0) ++ b ++ c ↔ a = b ∨ a = c, a ∈ s

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: del-addin-01: ⊦ ¬ a ∈ s → (a ∈ (s -- b) ++ c ↔ a = c);% ⊦ a ∈ s ++ b ↔ a = b ∨ a ∈ s; (s)