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Proof step 17 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, mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes), 0, st[r -- _type, typeval(mkarraytype(byte_type))]) [r -- _length, intval(j + n→i(# bytes)) ] )

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ is_fskey(sk) → addarray(r, vals, i, st[r0 -- sk, val]) = (addarray(r, vals, i, st)[r0 -- sk, val])
Proof step 16:
is_fskey(_type), 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(j + n→i(# bytes)) ] )

Rule argument

[crewrite-arg: init-switch , F , [val, sk, r0, st, i, vals, r] → [typeval(mkarraytype(byte_type)), _type, r, st, 0, mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes), r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(_type)])], [EXTRATERMS : (typeval(mkarraytype(byte_type)), _type, r, st, 0, mklist(initial_value(byte_type), i→n(j)) + mkjavavalues(bytes), r)]]