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Proof step 13 from proof okarray-putarray-addarray-put (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
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] → [j0, # vals0] ,F ,intnat , ,num-i2n-le-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])], [EXTRATERMS : (j0, # vals0)]]