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Proof step 4 from proof prefixpoint (previous step)

f(S) ⊆ S, monotone(f) ⊦ f(μ(f)) ⊆ μ(f), f(μ(f)) ⊆ S

User applied rule insert lemma

And obtained the following new goals

Proof step 5:
monotone(f), f(S) ⊆ S ⊦ μ(f) ⊆ S
Proof step 6:
μ(f) ⊆ S, f(S) ⊆ S, monotone(f) ⊦ f(μ(f)) ⊆ μ(f), f(μ(f)) ⊆ S

Rule argument

spec: inst: name: prefixpoint-aux seq: monotone(f), f(S) ⊆ S ⊦ μ(f) ⊆ S subst: [f, S] → [f, S] flags: current, []

Additional information

Used terms: f, S