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Proof step 38 from proof ac-del-01 (conclusion)

⊦ (addclass(class1, fis + (sk × val0) ', st)[jvmref -- sk, val]) = (addclass(class1, fis, st)[jvmref -- sk, val])

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ (addclass(class1, (sk × val0) ', st)[jvmref -- sk, val]) = (st[jvmref -- mkfs(class1, void_type, `initstate' .field) ', initval(done)][jvmref -- sk, val])
Proof step 2:
⊦ addclass(class1, [], st) = st[jvmref -- mkfs(class1, void_type, `initstate' .field) ', initval(done)]
Proof step 37:
∀ class1, sk, val0, st, val. (addclass(class1, fis0 + (sk × val0) ', st)[jvmref -- sk, val]) = (addclass(class1, fis0, st)[jvmref -- sk, val]) ⊦ (addclass(class1, (fv + fis0) + (sk × val0) ', st)[jvmref -- sk, val]) = (addclass(class1, fv + fis0, st)[jvmref -- sk, val])

Rule argument

[VARWITHFMAVARSARG : fis, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : fieldinits generated by [], +;], [CSIMPSEQ : ⊦ [] + fis = fis], [CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1])]]