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Proof step 3 from proof switch-obj-01 (previous step)

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])

User applied rule insert equation

And closed the goal!

Rule argument

[inserteqarg: pos: left 1,F,T,()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ r ≠ r0 → (addobj(r, class1, fis, st) [r0 -- sk, val ] ) = addobj (r, class1, fis, st[r0 -- sk, val])])]]