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Proof step 35 from proof validstatfields-addclass-other (previous step)

⊦ class = class0, class = `java.lang.Object' .class, (∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, addclass(class, fis, st))) ↔ (∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, st))

User applied rule case distinction

And obtained the following new goals

Proof step 16:
∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, addclass(class, fis, st)) ⊦ ∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, st), class = class0, class = `java.lang.Object' .class
Proof step 34:
∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, st) ⊦ ∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, addclass(class, fis, st)), class = class0, class = `java.lang.Object' .class

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]