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Proof step 4 from proof update-length (previous step)

validFields(r, fis0, st), r -- sk ∈ st, r ∈ st, ∀ r, st, r0. validFields(r, fis0, st) → (update(r, fis0, st)[r0 -- _length]) = st[r0 -- _length] ⊦ sk = _type, sk = _length, (update(r, fis0, st)[r0 -- _length]) = st[r0 -- _length], sk ∈ fis0

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 4, [QUANTTERMLIST : (r, st, r0)]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r, st, r0)]]