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Proof step 13 from proof ac-mode (previous step)

fv = sk × val, ∀ class1, st. class1 = `java.lang.Object' .class ∨ (addclass(class1, fis0, st)[_mode]) = st[_mode] ⊦ class1 = `java.lang.Object' .class, (addclass(class1, fv ' + fis0, st)[_mode]) = st[_mode], ¬ is_indexkey(sk) ∧ sk .fs .class ≠ class1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
∀ class1, st. class1 = `java.lang.Object' .class ∨ (addclass(class1, fis0, st)[_mode]) = st[_mode] ⊦ class1 = `java.lang.Object' .class, (addclass(class1, (sk × val) ' + fis0, st)[_mode]) = st[_mode], ¬ is_indexkey(sk) ∧ sk .fs .class ≠ class1

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]