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Proof step 6 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, val + vals0, i, addobj(r0, class, fis, st)) = addobj(r0, class, fis, addarray(r, val + vals0, i, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ addarray(r, val ' + vals, i, st) = (addarray(r, vals, i + 1, st)[r -- i ', val])
Proof step 5:
∀ 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])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ val + vals = val ' + vals])]]