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Proof step 4 from proof coinduction (previous step)

ν(f) = UN(λ S. S ⊆ f(S)), φ(x), monotone(f), ∀ x. φ(x) → f(λ x. ν(f)(x) ∨ φ(x))(x) ⊦ ν(f)(x)

User applied rule insert equation

And obtained the following new goals

Proof step 5:
φ(x), monotone(f), ∀ x. φ(x) → f(λ x. ν(f)(x) ∨ φ(x))(x) ⊦ UN(λ S. S ⊆ f(S))(x)

Rule argument

pos: left 1 flags: discard, [[2,1,0]]

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