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Proof step 11 from proof fixpoint-nu (previous step)

monotone(f) ⊦ ν(f) = (λ x0. ¬ μ(compl(f))(x0)), f(ν(f))(x) ↔ f(λ x0. ¬ μ(compl(f))(x0))(x)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
monotone(f) ⊦ f(ν(f))(x) ↔ f(λ x0. ¬ μ(compl(f))(x0))(x), ν(f)(x0) ↔ ¬ μ(compl(f))(x0)

Rule argument

Additional information