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Proof step 26 from proof getbar-addbar-02 (previous step)

n < i→n(j), i + j ≤ n→i(# ints), i→n(i) + i→n(j) < # ints, 0 ≤ i, 0 < j ⊦ (sublist(i→n(i), i→n(j), mkjavavalues(is2bs(ints)))[n]) .byteval = (is2bs(sublist(i→n(i), i→n(j), ints))[n]), ints = [], j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ n0 < n ∧ m + n ≤ # vals → (sublist(m, n, vals)[n0]) = vals[m + n0]
Proof step 25:
n < i→n(j) ∧ i→n(i) + i→n(j) ≤ # mkjavavalues(is2bs(ints)), n < i→n(j), i + j ≤ n→i(# ints), i→n(i) + i→n(j) < # ints, 0 ≤ i, 0 < j ⊦ (mkjavavalues(is2bs(ints))[i→n(i) + n]) .byteval = (is2bs(sublist(i→n(i), i→n(j), ints))[n]), ints = [], j = 0

Rule argument

[speclemmaarg: ,n0 < n ∧ m + n ≤ # vals → (sublist(m, n, vals)[n0]) = vals[m + n0] ,[n0, vals, n, m] → [n, mkjavavalues(is2bs(ints)), i→n(j), i→n(i)] ,F ,list-del ,javavalues ,sublist-at ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ m < n ↔ n ≤ m], [CSIMPSEQ : ⊦ m < n → (n ≤ m ↔ false)], [CSIMPSEQ : ⊦ # mkjavavalues(bytes) = # bytes], [CSIMPSEQ : ⊦ # is2bs(ints) = # ints], [CSIMPSEQ : ⊦ ¬ m ≤ n ↔ n < m], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ m < n → ¬ n < m])], [EXTRATERMS : (n, mkjavavalues(is2bs(ints)), i→n(j), i→n(i))]]