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Proof step 5 from proof switch-obj-01 (previous step)

∀ r, r0, i, class, fis, st. r ≠ r0 → addarray(r, vals0, i, addobj(r0, class, fis, st)) = addobj(r0, class, fis, addarray(r, vals0, i, st)) ⊦ r = r0, (addarray(r, vals0, i + 1, addobj(r0, class, fis, st))[r -- i ', val]) = addobj(r0, class, fis, addarray(r, vals0, i + 1, st)[r -- i ', val])

User applied rule all left

And obtained the following new goals

Proof step 4:
r ≠ r0 → addarray(r, vals0, i + 1, addobj(r0, class, fis, st)) = addobj(r0, class, fis, addarray(r, vals0, i + 1, st)) ⊦ r = r0, (addarray(r, vals0, i + 1, addobj(r0, class, fis, st))[r -- i ', val]) = addobj(r0, class, fis, addarray(r, vals0, i + 1, st)[r -- i ', val])

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r, r0, i + 1, class, fis, st)]]