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Proof step 35 from proof okarray-putarray-addarray-put (previous step)

j0 = i0 + i, 0 < n→i(# vals) + i, j0 < j, 0 ≤ n→i(# vals) + i, 0 ≤ j, 0 ≤ i, i ≤ n→i(# vals0), j ≤ n→i(# vals) + i, 0 ≤ j0, 0 < j, j0 < n→i(# vals) + i, i ≤ j0, i < j, ∀ val. val ∈ vals ∨ val ∈ vals0 → is_bytevalue(val) ⊦ r = jvmref, vals = [], is_bytevalue(vals[i→n(i0)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
0 < j, j ≤ n→i(# vals) + i, i ≤ n→i(# vals0), 0 ≤ i, 0 ≤ j, 0 ≤ n→i(# vals) + i, i0 + i < j, 0 < n→i(# vals) + i, i < j, 0 ≤ i0, 0 ≤ i0 + i, i0 < n→i(# vals), ∀ val. val ∈ vals ∨ val ∈ vals0 → is_bytevalue(val) ⊦ vals = [], r = jvmref, is_bytevalue(vals[i→n(i0)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([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], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPSEQ : ⊦ i ≤ i + j ↔ 0 ≤ j], [CSIMPSEQ : ⊦ i + j < i + i0 ↔ j < i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0])]]