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Proof step 25 from proof coinduction (previous step)

φ(x), monotone(f), ν(f)(x0), ∀ x. φ(x) → f(λ x. ν(f)(x) ∨ φ(x))(x) ⊦ f(λ x. ν(f)(x) ∨ φ(x))(x0), φ(x0), f(ν(f))(x0)

User applied rule insert spec-lemma

And obtained the following new goals

Rule argument

spec: monotone-set-fixpoint inst: name: fixpoint-nu seq: monotone(f) ⊦ f(ν(f)) = ν(f) subst: [f] → [f] flags: []

Additional information

Used terms: f