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Proof step 2 from proof fixpoint-nu (previous step)

monotone(f) ⊦ f(ν(f))(x) ↔ ν(f)(x)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ν(f)(x) ↔ ¬ μ(compl(f))(x)
Proof step 4:
monotone(f) ⊦ f(ν(f))(x) ↔ ¬ μ(compl(f))(x)

Rule argument

spec: inst: name: greatest-prefixpoint-def seq: ⊦ ν(f)(x) ↔ ¬ μ(compl(f))(x) subst: [x, f] → [x, f] flags: rewrite, current

Additional information

Used terms: x, f