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Proof step 25 from proof add-dupput (previous step)

sk ∈ fis ⊦ (rk ∈ addobj(r, class1, fis + (sk × val) ' + fis0, st) ↔ rk ∈ addobj(r, class1, fis + fis0, st)) ∧ (addobj(r, class1, fis + (sk × val) ' + fis0, st)[rk]) = (addobj(r, class1, fis + fis0, st)[rk])

User applied rule structural induction

And obtained the following new goals

Proof step 24:
sk ∈ fis ⊦ (r0 -- sk0 ∈ addobj(r, class1, fis + (sk × val) ' + fis0, st) ↔ r0 -- sk0 ∈ addobj(r, class1, fis + fis0, st)) ∧ (addobj(r, class1, fis + (sk × val) ' + fis0, st)[r0 -- sk0]) = (addobj(r, class1, fis + fis0, st)[r0 -- sk0])

Rule argument

[VARWITHVARSEQSARG : rk, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : refkey generated by --;])]]