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Proof step 4 from proof ac-dups-02 (previous step)

⊦ addclass(class1, (mkfs(class, ty, fieldvar) ' × val) ' + (mkfs(class, ty, fieldvar) ' × val0) ' + fis0, st) = addclass(class1, (mkfs(class, ty, fieldvar) ' × val) ' + fis0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ class1 ≠ class2 → addclass(class1, (mkfs(class2, ty, fieldvar) ' × val) ' + fis, st) = addclass(class1, fis, st)
Proof step 2:
⊦ addclass(class1, (mkfs(class1, ty, fieldvar) ' × val) ' + fis, st) = (addclass(class1, fis, st)[jvmref -- mkfs(class1, ty, fieldvar) ', val])
Proof step 3:
class1 ≠ class2 ⊦ addclass(class1, (mkfs(class2, ty, fieldvar) ' × val) ' + fis, st) = addclass(class1, fis, st)

Rule argument

[crewrite-arg: addclass-no1 , F , [st, fis, val, fieldvar, ty, class2, class1] → [st, (mkfs(class, ty, fieldvar) ' × val0) ' + fis0, val, fieldvar, ty, class, class1] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : ⊦ (st[rk, val][rk, val0]) = st[rk, val0]])], [EXTRATERMS : (st, (mkfs(class, ty, fieldvar) ' × val0) ' + fis0, val, fieldvar, ty, class, class1)]]