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Proof step 9 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, fis1, addclass(class0, fis0, st))[r -- fv .1, fv .2]) = addclass(class0, fis0, update(r, fv ' + fis1, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
fv = sk × val, ∀ 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 -- sk, val]) = addclass(class0, fis0, update(r, fv ' + fis1, st))

Rule argument

[speclemmaarg: ,sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val ,[fv, sk, val] → [fv, sk, val] ,T ,pair ,fieldinit ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val])], [EXTRATERMS : (fv, sk, val)]]