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Proof step 9 from proof ac-uninitset (previous step)

⊦ class1 = `java.lang.Object' .class, (∀ class. class ∈ claset → initundone(class, addclass(class1, fis, st))) ↔ (∀ class. class ∈ claset → initundone(class, st)), class1 ∈ claset

User applied rule case distinction

And obtained the following new goals

Proof step 5:
∀ class. class ∈ claset → initundone(class, addclass(class1, fis, st)) ⊦ ∀ class. class ∈ claset → initundone(class, st), class1 = `java.lang.Object' .class, class1 ∈ claset
Proof step 8:
∀ class. class ∈ claset → initundone(class, st) ⊦ ∀ class. class ∈ claset → initundone(class, addclass(class1, fis, st)), class1 = `java.lang.Object' .class, class1 ∈ claset

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]