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Proof step 10 from proof validmode-addclass (previous step)

⊦ class = `java.lang.Object' .class, _mode ∈ addclass(class, fis, st) ∧ validmode(str, addclass(class, fis, st)[_mode], addclass(class, fis, st)) ↔ validmode(str, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
⊦ class = `java.lang.Object' .class, _mode ∈ st ∧ validmode(str, st[_mode], addclass(class, fis, st)) ↔ validmode(str, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : class1 ≠ `java.lang.Object' .class ⊦ (addclass(class1, fis, st)[_mode] ) = st[_mode]], [CSIMPSEQ : ⊦ class ≠ `java.lang.Object' .class → ( _mode ∈ addclass(class, fis, st) ↔ _mode ∈ st)])]]