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Proof step 25 from proof okarray-putba (previous step)

st[r0 -- _length] = intval(i), r0 -- _length ∈ st, 0 ≤ i, r0 ∈ st ⊦ r0 = jvmref, r = r0, r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_arraytype(st[r0 -- _type] .type) ∧ st[r0 -- _type] .type .type ≤ ty ∧ is_arrayref(r0, i, putByteArray(bytes, r, i1, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty)) ↔ okreftype(refval(r0), mkarraytype(ty), st) ∧ is_arrayref(r0, i, st) ∧ (∀ j. 0 ≤ j ∧ j < i → okval(st[r0 -- j '], ty))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ is_arrayref(r, i, st) ↔ (∀ j. 0 ≤ j ∧ j < i → r -- j ' ∈ st)
Proof step 24:
st[r0 -- _length] = intval(i), r0 -- _length ∈ st, 0 ≤ i, r0 ∈ st ⊦ r0 = jvmref, r = r0, r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_arraytype(st[r0 -- _type] .type) ∧ st[r0 -- _type] .type .type ≤ ty ∧ (∀ j. 0 ≤ j ∧ j < i → r0 -- j ' ∈ putByteArray(bytes, r, i1, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty)) ↔ okreftype(refval(r0), mkarraytype(ty), st) ∧ is_arrayref(r0, i, st) ∧ (∀ j. 0 ≤ j ∧ j < i → okval(st[r0 -- j '], ty))

Rule argument

[speclemmaarg: ,is_arrayref(r, i, st) ↔ (∀ j. 0 ≤ j ∧ j < i → r -- j ' ∈ st) ,[st, i, r] → [putByteArray(bytes, r, i1, st), i, r0] ,F ,storearrays , ,is_arrayref ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (putByteArray(bytes, r, i1, st), i, r0)]]