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Proof step 20 from proof ac-bad-02 (previous step)

is_fskey(fv .1), ∀ class1, i, val, fis1, st. addclass(class1, fis0 + (i ' × val) ' + fis1, st) = addclass(class1, fis0 + fis1, st) ⊦ addclass(class1, (fv ' + fis0) + (i ' × val) ' + fis1, st) = addclass(class1, (fv ' + fis0) + fis1, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 19:
fv = sk × val0, is_fskey(sk), ∀ class1, i, val, fis1, st. addclass(class1, fis0 + (i ' × val) ' + fis1, st) = addclass(class1, fis0 + fis1, st) ⊦ addclass(class1, (fv ' + fis0) + (i ' × val) ' + fis1, st) = addclass(class1, (fv ' + fis0) + fis1, st)

Rule argument

[speclemmaarg: ,sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val ,[fv, sk, val] → [fv, sk, val0] ,T ,pair ,fieldinit ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ sk = fv .1 ∧ val = fv .2 ↔ fv = sk × val])], [EXTRATERMS : (fv, sk, val0)]]