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Proof step 84 from proof putByteArray-vals-addarray-01 (previous step)

0 ≤ i1, 0 ≤ j, 0 ≤ n→i(# bytes) + i1, 0 ≤ j + n→i(# bytes) + i1, r0 ≠ r ∨ sk ≠ _length ⊦ ( r0 ≠ r ∨ sk ≠ _type → ( r0 = r ∧ is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < n→i(# bytes) + i1 + j ∨ r0 = r ∧ is_indexkey(sk) ∧ j ≤ sk .index ∧ sk .index < n→i(# bytes) + j → r0 -- sk ∈ st ∨ r0 = r ∧ ¬ is_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ n→i(# bytes) + j + i1 ≤ sk .index)) ∧ (putArray(mkjavavalues(bytes), r, j, putArray(mklist(initial_value(byte_type), (i→n(i1) + # bytes) + i→n(j)), r, 0, st)) [r -- _type, typeval(mkarraytype(byte_type)) ] [r -- _length, intval(j + n→i(# bytes) + i1) ] [r0 -- sk ] ) = (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) ] [r0 -- sk ] )

User applied rule case distinction

And obtained the following new goals

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]