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Proof step 99 from proof putByteArray-vals-addarray-01 (previous step)

0 ≤ j + n→i(# bytes) + i1, 0 ≤ i1, 0 ≤ j, 0 ≤ n→i(# bytes) + i1 ⊦ (putArray(mkjavavalues(bytes), r, j, putArray(mklist(initial_value(byte_type), i→n(j + n→i(# bytes) + i1)), r, 0, 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) ] )

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ addarray(r, vals, i, st) = putArray(vals, r, i, st)
Proof step 98:
0 ≤ j + n→i(# bytes) + i1, 0 ≤ i1, 0 ≤ j, 0 ≤ n→i(# bytes) + i1 ⊦ (putArray(mkjavavalues(bytes), r, j, putArray(mklist(initial_value(byte_type), i→n(j + n→i(# bytes) + i1)), r, 0, st)) [r -- _type, typeval(mkarraytype(byte_type)) ] [r -- _length, intval(j + n→i(# bytes) + i1) ] ) = (putArray(mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)), r, 0, st) [r -- _type, typeval(mkarraytype(byte_type)) ] [r -- _length, intval(j + n→i(# bytes) + i1) ] )

Rule argument

[crewrite-arg: addarray-is-putarray-01 , F , [st, i, vals, r] → [st, 0, mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)), r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, 0, mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes) + mklist(initial_value(byte_type), i→n(i1)), r)]]