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Proof step 21 from proof putByteArray-vals-addarray (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ addarray(r, ty, vals, st) = addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals))])
Proof step 20:
0 ≤ j ⊦ putArray (mkjavavalues(bytes), r, j, addarray(r, initial_value(byte_type), n→i(# bytes) + j, st)[r -- _type, typeval(mkarraytype(byte_type))][r -- _length, intval(n→i(# bytes) + j)]) = addarray (r, mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes), 0, st[r -- _type, typeval(mkarraytype(byte_type))][r -- _length, intval(n→i(# (mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes))))])

Rule argument

[crewrite-arg: addarrayinit-def , F , [st, vals, ty, r] → [st, mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes), byte_type, r] ]

Additional information

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