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Proof step 8 from proof update-length (previous step)

validFields(r, fis, st) ⊦ (update(r, fis, st)[r0 -- _length]) = st[r0 -- _length]

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ update(r, [], st) = st
Proof step 7:
∀ r, st, r0. validFields(r, fis0, st) → (update(r, fis0, st)[r0 -- _length]) = st[r0 -- _length], validFields(r, fv + fis0, st) ⊦ (update(r, fv + fis0, st)[r0 -- _length]) = st[r0 -- _length]

Rule argument

[VARWITHVARSEQSARG : fis, ()]

Additional information

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