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Proof step 10 from proof addclass-update-sw (previous step)

∀ r, class0, fis0, st. r = jvmref ∨ update(r, fis1, addclass(class0, fis0, st)) = addclass(class0, fis0, update(r, fis1, st)) ⊦ r = jvmref, update(r, fv ' + fis1, addclass(class0, fis0, st)) = addclass(class0, fis0, update(r, fv ' + fis1, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ update(r, fv ' + fis, st) = (update(r, fis, st)[r -- fv .1, fv .2])
Proof step 9:
∀ r, class0, fis0, st. r = jvmref ∨ update(r, fis1, addclass(class0, fis0, st)) = addclass(class0, fis0, update(r, fis1, st)) ⊦ r = jvmref, (update(r, fis1, addclass(class0, fis0, st))[r -- fv .1, fv .2]) = addclass(class0, fis0, update(r, fv ' + fis1, st))

Rule argument

[speclemmaarg: ,update(r, fv ' + fis, st) = (update(r, fis, st)[r -- fv .1, fv .2]) ,[st, fis, fv, r] → [addclass(class0, fis0, st), fis1, fv, r] ,F ,okfuns , ,update-rec-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addclass(class0, fis0, st), fis1, fv, r)]]