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Proof step 16 from proof okbytearray (previous step)

okarray(r, byte_type, st), val ∈ getarray(r, i, 1, st), 0 ≤ i, r ∈ st, i < st[r -- _length] .intval, 0 < st[r -- _length] .intval, ∀ val, i, st, r, j0. i→n(j0) < i→n(1) → (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 4:
⊦ getarray(r, i, 1, st) = st[r -- i '] '
Proof step 15:
okarray(r, byte_type, st), val ∈ st[r -- i '] ', 0 ≤ i, r ∈ st, i < st[r -- _length] .intval, 0 < st[r -- _length] .intval, ∀ val, i, st, r, j0. i→n(j0) < i→n(1) → (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: ,getarray(r, i, 1, st) = st[r -- i '] ' ,[st, i, r] → [st, i, r] ,F ,storearrays , ,getArray-one ]

Additional information

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