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Proof step 11 from proof update-ex-nodups (previous step)

update(r, fis0, st) = update(r, fis, st), fis ⊆ fis0 ⊦ dups(fis .keys), ∃ fis. ¬ dups(fis .keys) ∧ (update(r, fis0, st)[r -- sk, val]) = update(r, fis, st) ∧ fis ⊆ (sk × val) ' + fis0

User applied rule exists right

And obtained the following new goals

Proof step 10:
update(r, fis0, st) = update(r, fis, st), fis ⊆ fis0 ⊦ dups(fis .keys), ¬ dups(fis[sk, val] .keys) ∧ (update(r, fis0, st)[r -- sk, val]) = update(r, fis[sk, val], st) ∧ fis[sk, val] ⊆ (sk × val) ' + fis0

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (fis[sk, val]) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (fis[sk, val])]]