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Proof step 7 from proof mk-elem (previous step)

a ∈ b ' + mklist(b, n0), ∀ a, b. a ∈ mklist(b, n0) → a = b ⊦ a = b

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
a ∈ mklist(b, n0), ∀ a, b. a ∈ mklist(b, n0) → a = b ⊦ a = b

Rule argument

Additional information

Used simplifier rules: a: ⊦ (x + y) + z = x + y + z; from specification list% ⊦ a ≠ b → (a ∈ b ' + x ↔ a ∈ x); (s)