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Proof step 20 from proof isarray-putbar (previous step)

st[r1 -- _type] .type = mkarraytype(byte_type), r1 ∈ st, 0 ≤ st[r1 -- _length] .intval, is_typevalue(st[r1 -- _type]), r1 -- _type ∈ st, is_array(r1, putByteArray(bytes0, r1, i + 1, st)[r1 -- i ', byteval(by)]), is_arrayref(r1, st[r1 -- _length] .intval, st), is_integervalue(st[r1 -- _length]), r1 -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ st[r1 -- _length] .intval ≤ j → is_bytevalue(st[r1 -- j ']), ∀ r1, i, st. is_array(r1, putByteArray(bytes0, r1, i, st)) ∧ okbytearray(r1, st) → is_array(r1, st) ⊦ r1 = jvmref, okarray(r1, byte_type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 19:
st[r1 -- _length] = intval(i0), st[r1 -- _type] .type = mkarraytype(byte_type), r1 ∈ st, 0 ≤ i0, is_typevalue(st[r1 -- _type]), r1 -- _type ∈ st, is_array(r1, putByteArray(bytes0, r1, i + 1, st)[r1 -- i ', byteval(by)]), is_arrayref(r1, i0, st), is_integervalue(st[r1 -- _length]), r1 -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r1 -- j ']), ∀ r1, i, st. is_array(r1, putByteArray(bytes0, r1, i, st)) ∧ okbytearray(r1, st) → is_array(r1, st) ⊦ r1 = jvmref, okarray(r1, byte_type, st)

Rule argument

[speclemmaarg: ,is_integervalue(val) → (i = val .intval ↔ val = intval(i)) ,[val, i] → [st[r1 -- _length], i0] ,T ,javavalue , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_integervalue(val) → ( i = val .intval ↔ val = intval(i))])], [EXTRATERMS : (st[r1 -- _length], i0)]]