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Proof step 1 from proof mu-subset-nu (conclusion)

monotone(f) ⊦ μ(f) ⊆ ν(f)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
monotone(f), f(S) = S ⊦ μ(f) ⊆ S
Proof step 3:
¬(monotone(f) ∧ f(ν(f)) = ν(f)), monotone(f) ⊦ μ(f) ⊆ ν(f)

Rule argument

spec: inst: name: least-fixpoint seq: monotone(f), f(S) = S ⊦ μ(f) ⊆ S subst: [S, f] → [ν(f), f] flags: rewrite, current

Additional information

Used terms: ν(f), f