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Proof step 70 from proof onlymod-is-update (previous step)

r0 -- sk ∈ st1, r0 -- sk ∈ st0, onlyModified(r0, st0, st1), r0 ∈ st1, r0 ∈ st0, ∀ st, r1, st2. ¬ # st0 ≤ # st2 → (onlyModified(r1, st2, st) → (∃ fis. st = update(r1, fis, st2) ∧ validFields(r1, fis, st2))) ⊦ st0[r0 -- sk] = st1[r0 -- sk], ∃ fis. st1 = update(r0, fis, st0) ∧ validFields(r0, fis, st0)

User applied rule all left

And obtained the following new goals

Proof step 69:
r0 -- sk ∈ st1, r0 -- sk ∈ st0, onlyModified(r0, st0, st1), r0 ∈ st1, r0 ∈ st0, ¬ # st0 ≤ # (st0 -- (r0 -- sk)) → ( onlyModified(r0, st0 -- (r0 -- sk), st1 -- (r0 -- sk)) → (∃ fis. st1 -- (r0 -- sk) = update(r0, fis, st0 -- (r0 -- sk)) ∧ validFields(r0, fis, st0 -- (r0 -- sk)))) ⊦ st0[r0 -- sk] = st1[r0 -- sk], ∃ fis. st1 = update(r0, fis, st0) ∧ validFields(r0, fis, st0)

Rule argument

[EXRARG : pos: left 6, [extquanttermlist: (st1 -- (r0 -- sk), r0, st0 -- (r0 -- sk)) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1 -- (r0 -- sk), r0, st0 -- (r0 -- sk))]]