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Proof step 53 from proof addobj-addclass-sw (previous step)

is_indexkey(sk) ⊦ jvmref = r, (jvmref -- sk ∈ st ↔ jvmref -- sk ∈ addclass(class0, fis0, addobj(r, class, fis, st))) ∧ (addclass(class0, fis0, st)[jvmref -- sk]) = (addclass(class0, fis0, addobj(r, class, fis, st))[jvmref -- sk])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 46:
⊦ ¬ is_fskey(sk) → (r -- sk ∈ addclass(class, fis, st) ↔ r -- sk ∈ st)
Proof step 52:
¬ is_fskey(sk), is_indexkey(sk) ⊦ jvmref = r, (jvmref -- sk ∈ st ↔ jvmref -- sk ∈ addobj(r, class, fis, st)) ∧ (addclass(class0, fis0, st)[jvmref -- sk]) = (addclass(class0, fis0, addobj(r, class, fis, st))[jvmref -- sk])

Rule argument

[crewrite-arg: ac-in-11 , F , [st, fis, class, sk, r] → [addobj(r, class, fis, st), fis0, class0, sk, jvmref] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)])], [EXTRATERMS : (addobj(r, class, fis, st), fis0, class0, sk, jvmref)]]