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Proof step 22 from proof okarray-byte-01 (previous step)

st[r -- (i0 + i) '] = byteval(st[r0 -- (j0 + i) '] .byteval), 0 ≤ j0 + i, 0 ≤ i0 + i, r0 ∈ st, r ∈ st, j0 + j < st[r0 -- _length] .intval, i0 + j < st[r -- _length] .intval, i < j, okarray(r0, byte_type, st), okarray(r, byte_type, st) ⊦ r0 = jvmref, r = jvmref, byteval(st[r0 -- (j0 + i) '] .byteval) = st[r0 -- (j0 + i) ']

User applied rule insert elim lemma

And obtained the following new goals

Proof step 21:
st[r -- (i0 + i) '] = byteval(st[r0 -- (j0 + i) '] .byteval), 0 ≤ j0 + i, 0 ≤ i0 + i, r0 ∈ st, r ∈ st, j0 + j < st[r0 -- _length] .intval, i0 + j < st[r -- _length] .intval, i < j, okarray(r0, byte_type, st), okarray(r, byte_type, st) ⊦ is_bytevalue(st[r0 -- (j0 + i) ']), r0 = jvmref, r = jvmref, byteval(st[r0 -- (j0 + i) '] .byteval) = st[r0 -- (j0 + i) ']

Rule argument

[speclemmaarg: ,is_bytevalue(val) → (by = val .byteval ↔ val = byteval(by)) ,[val, by] → [st[r0 -- (j0 + i) '], by] ,T ,javavalue , ,elim-03 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_bytevalue(val) → ( by = val .byteval ↔ val = byteval(by))])], [EXTRATERMS : (st[r0 -- (j0 + i) '], by)]]