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Proof step 24 from proof okarray-byte (previous step)

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

User applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
st[r -- i '] .byteval = st[r0 -- j '] .byteval, okarray(r, byte_type, st), okarray(r0, byte_type, st), i < st[r -- _length] .intval, j < st[r0 -- _length] .intval, r ∈ st, r0 ∈ st, 0 ≤ i, 0 < st[r -- _length] .intval, 0 ≤ j, 0 < st[r0 -- _length] .intval ⊦ is_bytevalue(st[r -- i ']), st[r -- i '] = st[r0 -- j '], r = jvmref, r0 = jvmref
Proof step 23:
st[r -- i '] = byteval(by) ∧ is_bytevalue(st[r -- i ']), by = st[r0 -- j '] .byteval, okarray(r, byte_type, st), okarray(r0, byte_type, st), i < st[r -- _length] .intval, j < st[r0 -- _length] .intval, r ∈ st, r0 ∈ st, 0 ≤ i, 0 < st[r -- _length] .intval, 0 ≤ j, 0 < st[r0 -- _length] .intval ⊦ st[r -- i '] = st[r0 -- j '], r = jvmref, r0 = jvmref

Rule argument

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

Additional information

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