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Proof step 3 from proof ac-del-03 (previous step)

⊦ (addclass(class1, (mkfs(class, ty, fieldvar) ' × val0) ', st)[jvmref -- mkfs(class, ty, fieldvar) ', val]) = (st[jvmref -- mkfs(class1, void_type, `initstate' .field) ', initval(done)][jvmref -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
class1 ≠ class2 ⊦ addclass(class1, (mkfs(class2, ty, fieldvar) ' × val) ', st) = st[jvmref -- mkfs(class1, void_type, `initstate' .field) ', initval(done)]
Proof step 2:
⊦ addclass(class1, (mkfs(class1, ty, fieldvar) ' × val) ', st) = (st[jvmref -- mkfs(class1, void_type, `initstate' .field) ', initval(done)][jvmref -- mkfs(class1, ty, fieldvar) ', val])

Rule argument

[crewrite-arg: ac-one2 , F , [st, val, fieldvar, ty, class2, class1] → [st, val0, fieldvar, ty, class, class1] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[rk, val][rk, val0]) = st[rk, val0]])], [EXTRATERMS : (st, val0, fieldvar, ty, class, class1)]]