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Proof step 16 from proof getarray-addarray-03 (previous step)

i > 0, 0 ≤ i, ∀ st, val, r, i0. i→n(i0) < i→n(i) → (0 ≤ i0 → getarray(r, 0, i0, addarray(r, val, i0, st)) = mklist(val, i→n(i0))) ⊦ getarray(r, 0, i, addarray(r, val, i - 1, st)[r -- (i - 1) ', val]) = mklist(val, i→n(i))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
0 ≤ i, 0 < i, ∀ st, val, r, i0. i→n(i0) < i→n(i) → (0 ≤ i0 → getarray(r, 0, i0, addarray(r, val, i0, st)) = mklist(val, i→n(i0))) ⊦ getarray(r, 0, i, addarray(r, val, i - 1, st)[r -- (i - 1) ', val]) = mklist(val, i→n(i))

Rule argument

[emptyarg]

Additional information

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