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Proof step 26 from proof okarray-putarray-addarray-put (previous step)

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), # vals ≤ i→n(i0), ∀ val. val ∈ vals ∨ val ∈ vals0 → is_bytevalue(val) ⊦ vals = [], r = jvmref, is_bytevalue(vals[i→n(i0)]), ∃ n. ¬ # vals ≤ n ∧ vals[n] = vals[i→n(i0)], ∃ n. ¬ # vals0 ≤ n ∧ vals0[n] = vals[i→n(i0)]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
0 ≤ i ⊦ ((* m)) ≤ i→n(i) ↔ n→i(m) ≤ i

Rule argument

[speclemmaarg: 0 ≤ i ,((* m)) ≤ i→n(i) ↔ n→i(m) ≤ i ,[i, m] → [i0, # vals] ,F ,intnat , ,num-i2n-le-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])], [EXTRATERMS : (i0, # vals)]]