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Proof step 4 from proof addobj-union-switch (previous step)

∀ r, r0, class, fis, st. r = r0 ∨ addobj(r, class, fis, update(r0, fis1, st)) = update(r0, fis1, addobj(r, class, fis, st)) ⊦ r = r0, (addobj(r, class, fis, update(r0, fis1, st))[r0 -- sk, val]) = (update(r0, fis1, addobj(r, class, fis, st))[r0 -- sk, val])

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 1, [extquanttermlist: (r, r0, class, fis, st) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r, r0, class, fis, st)]]