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Proof step 66 from proof onlymod-is-update (previous step)

# st0 = m + 1, st1 -- (r0 -- sk) = update(r0, fis, st0 -- (r0 -- sk)), r0 -- sk ∈ st1, r0 -- sk ∈ st0, onlyModified(r0, st0, st1), r0 ∈ st1, r0 ∈ st0, validFields(r0, fis, st0 -- (r0 -- sk)) ⊦ st0[r0 -- sk] = st1[r0 -- sk], st0 = ∅, ∃ fis. st1 = update(r0, fis, st0) ∧ validFields(r0, fis, st0)

User applied rule exists right

And obtained the following new goals

Proof step 65:
# st0 = m + 1, st1 -- (r0 -- sk) = update(r0, fis, st0 -- (r0 -- sk)), r0 -- sk ∈ st1, r0 -- sk ∈ st0, onlyModified(r0, st0, st1), r0 ∈ st1, r0 ∈ st0, validFields(r0, fis, st0 -- (r0 -- sk)) ⊦ st0[r0 -- sk] = st1[r0 -- sk], st0 = ∅, st1 = update(r0, (sk × st1[r0 -- sk]) ' + fis, st0) ∧ validFields(r0, (sk × st1[r0 -- sk]) ' + fis, st0)

Rule argument

[EXRARG : pos: right 3, [extquanttermlist: ((sk × st1[r0 -- sk]) ' + fis) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : ((sk × st1[r0 -- sk]) ' + fis)]]