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Proof step 8 from proof switch-addarray-addclass-01 (previous step)

0 < i, ∀ st, fis, class, val, r, i0. i→n(i0) < i→n(i) → (true → r = jvmref ∨ addarray(r, val, i0, addclass(class, fis, st)) = addclass(class, fis, addarray(r, val, i0, st))) ⊦ (addarray(r, val, i - 1, addclass(class, fis, st))[r -- (i - 1) ', val]) = addclass(class, fis, addarray(r, val, i, st)), r = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
i = i1 + 1, 0 < i, ∀ st, fis, class, val, r, i0. i→n(i0) < i→n(i) → (true → r = jvmref ∨ addarray(r, val, i0, addclass(class, fis, st)) = addclass(class, fis, addarray(r, val, i0, st))) ⊦ (addarray(r, val, i1, addclass(class, fis, st))[r -- i1 ', val]) = addclass(class, fis, addarray(r, val, i, st)), r = jvmref

Rule argument

[speclemmaarg: ,i0 = i - j ↔ i = i0 + j ,[i, j, i0] → [i, 1, i1] ,T ,int-abs , ,elim-sub ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ i0 = i - j ↔ i = i0 + j])], [EXTRATERMS : (i, 1, i1)]]