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Proof step 51 from proof addobj-addclass-sw (previous step)

is_indexkey(sk) ⊦ jvmref = r, (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 48:
⊦ ¬ is_fskey(sk) → (addclass(class, fis, st)[r -- sk]) = st[r -- sk]
Proof step 49:
⊦ ¬ is_fskey(sk) → (addclass(class, fis, st)[r -- sk]) = st[r -- sk]
Proof step 50:
⊦ r ≠ r0 → (addobj(r, class1, fis, st)[r0 -- sk]) = st[r0 -- sk]

Rule argument

[crewrite-arg: ac-lookup-05 , F , [sk, r, st, fis, class] → [sk, jvmref, st, fis0, class0] ]

Additional information

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