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Proof step 103 from proof onlymod-is-update (previous step)

validFields(r, fv ' + fis0, st0), ∀ r, st0. validFields(r, fis0, st0) → onlyModified(r, st0, update(r, fis0, st0)) ⊦ onlyModified(r, st0, update(r, fis0, st0)[r -- fv .1, fv .2])

User applied rule structural induction

And obtained the following new goals

Proof step 102:
validFields(r, (sk × val) ' + fis0, st0), ∀ r, st0. validFields(r, fis0, st0) → onlyModified(r, st0, update(r, fis0, st0)) ⊦ onlyModified(r, st0, update(r, fis0, st0)[r -- (sk × val) .1, (sk × val) .2])

Rule argument

[VARWITHVARSEQSARG : fv, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : fieldvalue generated by ×;])]]