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Proof step 11 from proof vals-at (previous step)

fis[n] = sk × val, n < # fis ⊦ (fis .vals)[n] = val, fis = []

User applied rule structural induction

And obtained the following new goals

Proof step 10:
∀ n, sk, val. fis0[n] = sk × val ∧ n < # fis0 → (fis0 .vals)[n] = val ∨ fis0 = [], (fv + fis0)[n] = sk × val, n < # (fv + fis0) ⊦ ((fv + fis0) .vals)[n] = val, fv + fis0 = []

Rule argument

[VARWITHVARSEQSARG : fis, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : fieldinits generated by [], +;])]]