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Proof step 20 from proof exactarray-copy-01 (previous step)

st[r -- _length] = intval(i1), st[r -- _type] = typeval(mkarraytype(byte_type)), j0 < i1, r -- _length ∈ st, exactreftype(refval(r0), mkarraytype(byte_type), st) ∧ r0 ≠ jvmref ∧ r0 -- _length ∈ st ∧ is_integervalue(st[r0 -- _length]) ∧ 0 ≤ st[r0 -- _length] .intval ∧ is_arrayref(r0, st[r0 -- _length] .intval, st), i + j ≤ st[r0 -- _length] .intval, r0 ∈ st, 0 ≤ i, 0 ≤ j, r -- _type ∈ st, r ∈ st, 0 ≤ i1, 0 ≤ j0, 0 < i1, r -- j0 ' ∈ st, ∀ j1. ¬ j1 < 0 ∧ ¬ i1 ≤ j1 → r -- j1 ' ∈ st ⊦ r0 = jvmref, r = jvmref, r -- j0 ' ∈ arraycopy(r0, i, r, i0, j, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
⊦ exactreftype(val, ty, st) ↔ is_referencevalue(val) ∧ val .refval ∈ st ∧ (val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type = ty)
Proof step 19:
st[r -- _length] = intval(i1), st[r -- _type] = typeval(mkarraytype(byte_type)), st[r0 -- _type] .type = mkarraytype(byte_type), r0 -- _length ∈ st, is_integervalue(st[r0 -- _length]), is_arrayref(r0, st[r0 -- _length] .intval, st), i + j ≤ st[r0 -- _length] .intval, 0 ≤ i, 0 ≤ j, r -- _type ∈ st, r ∈ st, 0 ≤ i1, 0 ≤ j0, 0 < i1, r -- j0 ' ∈ st, j0 < i1, r -- _length ∈ st, r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), 0 ≤ st[r0 -- _length] .intval, r0 ∈ st, ∀ j1. ¬ j1 < 0 ∧ ¬ i1 ≤ j1 → r -- j1 ' ∈ st ⊦ r = jvmref, r0 = jvmref, r -- j0 ' ∈ arraycopy(r0, i, r, i0, j, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]