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Proof step 105 from proof putByteArray-vals-addarray-01 (previous step)

0 ≤ i1, 0 ≤ j, 0 ≤ n→i(# bytes) + i1 ⊦ (putArray(mkjavavalues(bytes), r, j, addarray(r, initial_value(byte_type), j + n→i(# bytes) + i1, st))[r -- _type, typeval(mkarraytype(byte_type))] [r -- _length, intval(j + n→i(# bytes) + i1) ] ) = addarray (r, mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)), 0, st[r -- _type, typeval(mkarraytype(byte_type))] [r -- _length, intval(n→i(# (mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1))))) ])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 104:
0 ≤ i1, 0 ≤ j, 0 ≤ n→i(# bytes) + i1 ⊦ (putArray(mkjavavalues(bytes), r, j, addarray(r, initial_value(byte_type), j + n→i(# bytes) + i1, st))[r -- _type, typeval(mkarraytype(byte_type))] [r -- _length, intval(j + n→i(# bytes) + i1) ] ) = addarray (r, mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)), 0, st[r -- _type, typeval(mkarraytype(byte_type))][r -- _length, intval(j + n→i(# bytes) + i1)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ 0 ≤ i → n→i(i→n(i)) = i], [CSIMPSEQ : ⊦ n→i(m + n) = n→i(m) + n→i(n)], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ # mkjavavalues(bytes) = # bytes], [CSIMPSEQ : ⊦ # mklist(val, n) = n], [CSIMPSEQ : ⊦ # (vals + vals0) = # vals + # vals0])]]