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Proof step 91 from proof putarray-addarray-override (previous step)

¬ (i0 < 0 ∨ n→i(# vals0) ≤ i0), 0 ≤ i, i + n→i(# vals) ≤ n→i(# vals0), i + n→i(# vals) + n→i(# restn(i→n(i) + # vals, vals0)) ≤ i0, n→i(# vals) + i ≤ i0, # vals0 ≤ i→n(i0), 0 ≤ i0 ⊦ (addarray(r0, ty, vals0, st)[r0 -- i0 ']) = st[r0 -- i0 ']

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 79:
⊦ 0 ≤ i ∧ i < n→i(# vals) → (addarray(r, ty, vals, st)[r -- i ']) = vals[i→n(i)]
Proof step 90:
n→i(# vals) + i < n→i(# vals0), i + n→i(# vals) + n→i(# restn(i→n(i) + # vals, vals0)) < n→i(# vals0), i0 < n→i(# vals0), 0 ≤ i0, # vals0 ≤ i→n(i0), n→i(# vals) + i ≤ i0, i + n→i(# vals) + n→i(# restn(i→n(i) + # vals, vals0)) ≤ i0, i + n→i(# vals) ≤ n→i(# vals0), 0 ≤ i ⊦ vals0[i→n(i0)] = st[r0 -- i0 '], vals0 = []

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ # vals = 0 ↔ vals = []], [CSIMPSEQ : ⊦ 0 < n ↔ n ≠ 0], [CSIMPSEQ : 0 ≤ i ⊦ ((* i)) < n→i(n) ↔ i→n(i) < n], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i + j = j + i])]]