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Proof step 78 from proof onlymod-is-update (previous step)

rk ∈ st1, rk ∈ st0, onlyModified(r, st0, st1), ∀ st1, r, st. # st < # st0 → (onlyModified(r, st, st1) → (∃ fis. st1 = update(r, fis, st) ∧ validFields(r, fis, st))) ⊦ st0[rk] = st1[rk], ∃ fis. st1 = update(r, fis, st0) ∧ validFields(r, fis, st0)

User applied rule structural induction

And obtained the following new goals

Proof step 77:
r0 -- sk ∈ st1, r0 -- sk ∈ st0, onlyModified(r, st0, st1), ∀ st1, r, st. # st < # st0 → (onlyModified(r, st, st1) → (∃ fis. st1 = update(r, fis, st) ∧ validFields(r, fis, st))) ⊦ st0[r0 -- sk] = st1[r0 -- sk], ∃ fis. st1 = update(r, fis, st0) ∧ validFields(r, fis, st0)

Rule argument

[VARWITHVARSEQSARG : rk, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : refkey generated by --;])]]