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Proof step 4 from proof addclass-update-sw (previous step)

update(r, fis1, addclass(class0, fis0, st)) = addclass(class0, fis0, update(r, fis1, st)), ∀ r, class0, fis0, st. r = jvmref ∨ update(r, fis1, addclass(class0, fis0, st)) = addclass(class0, fis0, update(r, fis1, st)) ⊦ r = jvmref, (addclass(class0, fis0, update(r, fis1, st))[r -- sk, val]) = addclass(class0, fis0, update(r, fis1, st)[r -- sk, val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ r ≠ jvmref → addclass(class, fis, st[r -- sk, val]) = (addclass(class, fis, st)[r -- sk, val])

Rule argument

[crewrite-arg: addclass-switch-01 , F , [val, sk, r, st, fis, class] → [val, sk, r, update(r, fis1, st), fis0, class0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val, sk, r, update(r, fis1, st), fis0, class0)]]