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Proof step 11 from proof ac-out (previous step)

¬ is_indexkey((sk × val0) .1), sk .fs = mkfs(class, ty, fieldvar), ∀ class1, st, val. class1 = `java.lang.Object' .class ∨ addclass(class1, fis0, st[_out, val]) = (addclass(class1, fis0, st)[_out, val]) ⊦ class1 = `java.lang.Object' .class, addclass(class1, (sk × val0) ' + fis0, st[_out, val]) = (addclass(class1, (sk × val0) ' + fis0, st)[_out, val]), ¬ is_indexkey(sk) ∧ class ≠ class1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
sk .fs = mkfs(class1, ty, fieldvar), is_fskey(sk), ∀ class1, st, val. class1 = `java.lang.Object' .class ∨ addclass(class1, fis0, st[_out, val]) = (addclass(class1, fis0, st)[_out, val]) ⊦ addclass(class1, (sk × val0) ' + fis0, st[_out, val]) = (addclass(class1, (sk × val0) ' + fis0, st)[_out, val]), class1 = `java.lang.Object' .class

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)], [CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ (sk × val) .1 = sk])]]