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Proof step 29 from proof ac-bad (previous step)

⊦ class1 = class2, addclass(class1, fis + (mkfs(class2, ty, fieldvar) ' × val) ' + fis0, st) = addclass(class1, fis + fis0, st)

User applied rule structural induction

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 28:
∀ class1, class2, ty, fieldvar, val, fis1, st. class1 = class2 ∨ addclass(class1, fis0 + (mkfs(class2, ty, fieldvar) ' × val) ' + fis1, st) = addclass(class1, fis0 + fis1, st) ⊦ class1 = class2 ∨ addclass(class1, (fv + fis0) + (mkfs(class2, ty, fieldvar) ' × val) ' + fis1, st) = addclass(class1, (fv + fis0) + fis1, st)

Rule argument

[VARWITHFMAVARSARG : fis, ()]

Additional information

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