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Proof step 14 from proof addclass-switch-01 (previous step)

¬ is_indexkey((sk0 × val0) .1), sk0 .fs = mkfs(class0, ty, fieldvar), ∀ r, class, st, sk, val. r = jvmref ∨ addclass(class, fis0, st[r -- sk, val]) = (addclass(class, fis0, st)[r -- sk, val]) ⊦ r = jvmref, addclass(class, (sk0 × val0) ' + fis0, st[r -- sk, val]) = (addclass(class, (sk0 × val0) ' + fis0, st)[r -- sk, val]), ¬ is_indexkey(sk0) ∧ class0 ≠ class

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
sk0 .fs = mkfs(class, ty, fieldvar), is_fskey(sk0), ∀ r, class, st, sk, val. r = jvmref ∨ addclass(class, fis0, st[r -- sk, val]) = (addclass(class, fis0, st)[r -- sk, val]) ⊦ addclass(class, (sk0 × val0) ' + fis0, st[r -- sk, val]) = (addclass(class, (sk0 × val0) ' + fis0, st)[r -- sk, val]), r = jvmref

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])]]