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Proof step 3 from proof initsubset-addclass-01 (previous step)

fis .keys = statfields(class), initundone(class, st0), validfieldinits(str, fis, st0), init⊆(str, st, st0) ⊦ class = `java.lang.Object' .class, init⊆(str, st, addclass(class, fis, st0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ init⊆(str, st, st0) ∧ init⊆(str, st0, st1) → init⊆(str, st, st1)
Proof step 2:
⊦ validfieldinits(str, fis, st) ∧ fis .keys = statfields(class) ∧ initundone(class, st) ∧ class ≠ `java.lang.Object' .class → init⊆(str, st, addclass(class, fis, st))

Rule argument

[crewrite-arg: initsubset-trans , F , [str, st, st0, st1] → [str, st, st0, addclass(class, fis, st0)] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, st, st0, addclass(class, fis, st0))]]