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Proof step 1 from proof prefixpoint-aux-nu (conclusion)

monotone(f), S ⊆ f(S) ⊦ S ⊆ ν(f)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ν(f) = UN(λ S. S ⊆ f(S))
Proof step 3:
monotone(f), S ⊆ f(S) ⊦ S ⊆ UN(λ S. S ⊆ f(S))

Rule argument

spec: inst: name: nu-is-UN seq: ⊦ ν(f) = UN(λ S. S ⊆ f(S)) subst: [f] → [f] flags: rewrite, current

Additional information

Used terms: f