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Proof step 39 from proof putByteArray-vals-addarray-01 (previous step)

0 ≤ i, j ≤ i, 0 ≤ i1, 0 ≤ j, 0 ≤ n→i(# bytes) + i1, 0 ≤ j + n→i(# bytes) + i1, 0 < n→i(# bytes) + j, i < n→i(# bytes) + j ⊦ (mkjavavalues(bytes)[i→n(i - j)]) = (putArray(mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)), r, 0, st)[r -- i ']), bytes = []

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 38:
i = i0 + j, 0 ≤ i, j ≤ i, 0 ≤ i1, 0 ≤ j, 0 ≤ n→i(# bytes) + i1, 0 ≤ j + n→i(# bytes) + i1, 0 < n→i(# bytes) + j, i < n→i(# bytes) + j ⊦ (mkjavavalues(bytes)[i→n(i0)]) = (putArray(mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)), r, 0, st)[r -- i ']), bytes = []

Rule argument

[speclemmaarg: ,i0 = i - j ↔ i = i0 + j ,[i, j, i0] → [i, j, i0] ,T ,int-abs , ,elim-sub ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ i0 = i - j ↔ i = i0 + j])], [EXTRATERMS : (i, j, i0)]]