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Proof step 19 from proof ac-bad (previous step)

fv = sk × val0, is_fskey(sk), ∀ 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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
is_fskey(sk), ∀ 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, ((sk × val0) ' + fis0) + (mkfs(class2, ty, fieldvar) ' × val) ' + fis1, st) = addclass(class1, ((sk × val0) ' + fis0) + fis1, st)

Rule argument

[emptyarg]

Additional information

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