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Proof step 37 from proof okbytearray (previous step)

val ∈ getarray(r, i, j, st), okarray(r, byte_type, st), i + j ≤ st[r -- _length] .intval, r ∈ st, 0 ≤ i, ∀ val, i, st, r, j0. i→n(j0) < i→n(j) → (true → (okarray(r, byte_type, st) ∧ i + j0 ≤ st[r -- _length] .intval ∧ 0 ≤ i ∧ ¬ is_bytevalue(val) → ¬ val ∈ getarray(r, i, j0, st))) ⊦ r = jvmref, is_bytevalue(val)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 1 < j → getarray(r, i, j, st) = getarray(r, i, j - 1, st) + st[r -- (i + j - 1) ']
Proof step 19:
¬ 1 < j, val ∈ getarray(r, i, j, st), okarray(r, byte_type, st), i + j ≤ st[r -- _length] .intval, r ∈ st, 0 ≤ i, ∀ val, i, st, r, j0. i→n(j0) < i→n(j) → (true → (okarray(r, byte_type, st) ∧ i + j0 ≤ st[r -- _length] .intval ∧ 0 ≤ i ∧ ¬ is_bytevalue(val) → ¬ val ∈ getarray(r, i, j0, st))) ⊦ r = jvmref, is_bytevalue(val)
Proof step 36:
1 < j, val ∈ getarray(r, i, j - 1, st) + st[r -- (i + j - 1) '], okarray(r, byte_type, st), i + j ≤ st[r -- _length] .intval, r ∈ st, 0 ≤ i, ∀ val, i, st, r, j0. i→n(j0) < i→n(j) → (true → (okarray(r, byte_type, st) ∧ i + j0 ≤ st[r -- _length] .intval ∧ 0 ≤ i ∧ ¬ is_bytevalue(val) → ¬ val ∈ getarray(r, i, j0, st))) ⊦ r = jvmref, is_bytevalue(val)

Rule argument

[speclemmaarg: , 1 < j → getarray(r, i, j, st) = getarray(r, i, j - 1, st) + st[r -- (i + j - 1) '] ,[st, j, i, r] → [st, j, i, r] ,F ,storearrays , ,getArray-rec ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, j, i, r)]]