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Proof step 5 from proof getkeys-app (previous step)

∀ fis0. (fis1 + fis0) .keys = fis1 .keys + fis0 .keys ⊦ ((fv ' + fis1) + fis0) .keys = (fv ' + fis1) .keys + fis0 .keys

User applied rule structural induction

And obtained the following new goals

Proof step 4:
∀ fis0. (fis1 + fis0) .keys = fis1 .keys + fis0 .keys ⊦ (((sk × val) ' + fis1) + fis0) .keys = ((sk × val) ' + fis1) .keys + fis0 .keys

Rule argument

[VARWITHVARSEQSARG : fv, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : fieldvalue generated by ×;])]]