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Proof step 11 from proof coinduction (previous step)

φ(x), monotone(f), ∀ x. φ(x) → f(λ x. ν(f)(x) ∨ φ(x))(x) ⊦ ∀ x. ν(f)(x) ∨ φ(x) → f(λ x. ν(f)(x) ∨ φ(x))(x)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information