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Proof step 3 from proof prefixpoint-rev (previous step)

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

User applied rule insert lemma

And obtained the following new goals

Proof step 4:
monotone(f), f(S) ⊆ S ⊦ μ(f) ⊆ S
Proof step 5:
f(μ(f)) ⊆ μ(f), monotone(f) ⊦ f(f(μ(f))) ⊆ f(μ(f)), μ(f) ⊆ f(μ(f))

Rule argument

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

Additional information

Used terms: f, f(μ(f))