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Proof step 19 from proof exactarray-putbar (previous step)

⊦ r = r1, r1 ∈ putByteArray(bytes, r, i, st) ∧ r1 -- _type ∈ st ∧ is_typevalue(st[r1 -- _type]) ∧ st[r1 -- _type] .type = mkarraytype(byte_type) ∧ r1 ≠ jvmref ∧ r1 -- _length ∈ st ∧ st[r1 -- _length] = intval(j) ∧ is_arrayref(r1, j, putByteArray(bytes, r, i, st)) ↔ exactreftype(refval(r1), mkarraytype(byte_type), st) ∧ refval(r1) .refval ≠ jvmref ∧ (refval(r1) .refval -- _length) × intval(j) ∈ st ∧ is_arrayref(refval(r1) .refval, j, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
st[r1 -- _length] = intval(j), r1 -- _length ∈ st, r1 ∈ st ⊦ r1 = jvmref, r = r1, r1 ∈ putByteArray(bytes, r, i, st) ∧ r1 -- _type ∈ st ∧ is_typevalue(st[r1 -- _type]) ∧ st[r1 -- _type] .type = mkarraytype(byte_type) ∧ is_arrayref(r1, j, putByteArray(bytes, r, i, st)) ↔ exactreftype(refval(r1), mkarraytype(byte_type), st) ∧ is_arrayref(r1, j, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ ¬ ¬ (rk ∈ st ∧ st[rk] = val)], [CSIMPSEQ : ⊦ refval(r) .refval = r])]]