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Proof step 19 from proof ac-mode (previous step)

sk = fs ', is_fskey(sk), ∀ class1, st. class1 = `java.lang.Object' .class ∨ (addclass(class1, fis0, st)[_mode]) = st[_mode] ⊦ fs .class = class1, (addclass(class1, fis0, st)[_mode]) = st[_mode], class1 = `java.lang.Object' .class

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
∀ class1, st. class1 = `java.lang.Object' .class ∨ (addclass(class1, fis0, st)[_mode]) = st[_mode] ⊦ fs .class = class1, (addclass(class1, fis0, st)[_mode]) = st[_mode], class1 = `java.lang.Object' .class

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')])]]