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Proof step 13 from proof exactarray-copy (previous step)

⊦ r1 = r0, exactreftype(refval(r1), mkarraytype(ty), arraycopy(r, i, r0, i0, j, st)) ∧ r1 ≠ jvmref ∧ r1 -- _length ∈ arraycopy(r, i, r0, i0, j, st) ∧ is_integervalue(arraycopy(r, i, r0, i0, j, st)[r1 -- _length]) ∧ 0 ≤ (arraycopy(r, i, r0, i0, j, st)[r1 -- _length]) .intval ∧ is_arrayref(r1, (arraycopy(r, i, r0, i0, j, st)[r1 -- _length]) .intval, arraycopy(r, i, r0, i0, j, st)) ↔ exactarray(r1, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ 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 12:
⊦ r1 = r0, r1 ∈ st ∧ r1 -- _type ∈ st ∧ is_typevalue(st[r1 -- _type]) ∧ st[r1 -- _type] .type = mkarraytype(ty) ∧ r1 ≠ jvmref ∧ r1 -- _length ∈ st ∧ is_integervalue(st[r1 -- _length]) ∧ 0 ≤ st[r1 -- _length] .intval ∧ is_arrayref(r1, st[r1 -- _length] .intval, st) ↔ exactarray(r1, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r1 ≠ r0 → ( is_arrayref (r1, i1, arraycopy (r, i, r0, i0, j, st)) ↔ is_arrayref(r1, i1, st))], [CSIMPSEQ : ⊦ (arraycopy(r1, i1, r2, i2, j, st) [r -- _length ] ) = st[r -- _length]], [CSIMPSEQ : ⊦ r -- _length ∈ arraycopy (r1, i1, r2, i2, j, st) ↔ r -- _length ∈ st], [CSIMPSEQ : ⊦ (arraycopy(r1, i1, r2, i2, j, st) [r -- _type ] ) = st[r -- _type]], [CSIMPSEQ : ⊦ r -- _type ∈ arraycopy (r1, i1, r2, i2, j, st) ↔ r -- _type ∈ st], [CSIMPSEQ : ⊦ r1 ≠ r0 → ( r1 ∈ arraycopy (r, i, r0, i0, j, st) ↔ r1 ∈ st)], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]