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Proof step 33 from proof validstatfields-addclass-other (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ is_fskey(sk) ∧ sk .fs .class ≠ class ∧ class ≠ `java.lang.Object' .class → (validstatfield(str, sk, addclass(class, fis, st)) ↔ validstatfield(str, sk, st))
Proof step 26:
¬ (is_fskey(sk) ∧ sk .fs .class ≠ class ∧ class ≠ `java.lang.Object' .class), sk ∈ statfields(class0), ∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, st) ⊦ class = `java.lang.Object' .class, class = class0, validstatfield(str, sk, addclass(class, fis, st))
Proof step 32:
is_fskey(sk) ∧ sk .fs .class ≠ class ∧ class ≠ `java.lang.Object' .class, sk ∈ statfields(class0), ∀ sk. sk ∈ statfields(class0) → validstatfield(str, sk, st) ⊦ class = `java.lang.Object' .class, class = class0, validstatfield(str, sk, st)

Rule argument

[crewrite-arg: validstatfield-addclass-other , F , [st, fis, class, sk, str] → [st, fis, class, sk, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis, class, sk, str)]]