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Proof step 101 from proof onlymod-is-update (previous step)

validFields(r, fis0, st0), r -- sk ∈ st0, r ∈ st0, ∀ r, st0. validFields(r, fis0, st0) → onlyModified(r, st0, update(r, fis0, st0)) ⊦ sk = _type, sk = _length, sk ∈ fis0, onlyModified(r, st0, update(r, fis0, st0)[r -- sk, val])

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 4, [QUANTTERMLIST : (r, st0)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ≠ _type ∧ sk ≠ _length ∧ onlyModified(r, st, st0) ∧ r -- sk ∈ st → onlyModified (r, st, st0[r -- sk, val])])], [EXTRATERMS : (r, st0)]]