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Proof step 9 from proof switch-addarray-addclass-01 (previous step)

i > 0, ∀ 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 simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
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

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ i > j ↔ j < i])]]