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Proof step 7 from proof update-length (previous step)

∀ 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]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ update(r, fv ' + fis, st) = (update(r, fis, st)[r -- fv .1, fv .2])
Proof step 6:
validFields(r, fv ' + fis0, st), ∀ r, st, r0. validFields(r, fis0, st) → (update(r, fis0, st)[r0 -- _length]) = st[r0 -- _length] ⊦ (update(r, fis0, st)[r -- fv .1, fv .2][r0 -- _length]) = st[r0 -- _length]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : ⊦ fv + fis = fv ' + fis])]]