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Proof step 6 from proof ac-dups-03 (previous step)

⊦ addclass(class1, (mkfs(class, ty, fieldvar) ' × val) ' + fis1 + (mkfs(class, ty, fieldvar) ' × val0) ' + fis0, st) = addclass(class1, (mkfs(class, ty, fieldvar) ' × val) ' + fis1 + 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:
⊦ (addclass(class1, fis + (sk × val0) ' + fis0, st)[jvmref -- sk, val]) = (addclass(class1, fis + fis0, st)[jvmref -- sk, val])
Proof step 4:
class1 ≠ class2 ⊦ addclass(class1, fis + (mkfs(class2, ty, fieldvar) ' × val) ' + fis0, st) = addclass(class1, fis + fis0, st)
Proof step 5:
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, fis1 + (mkfs(class, ty, fieldvar) ' × val0) ' + fis0, val, fieldvar, ty, class, class1] ]

Additional information

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