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Proof step 21 from proof exactarray-putbar (previous step)

⊦ r = r1, exactreftype(refval(r1), mkarraytype(byte_type), putByteArray(bytes, r, i, st)) ∧ refval(r1) .refval ≠ jvmref ∧ (refval(r1) .refval -- _length) × intval(j) ∈ putByteArray(bytes, r, i, st) ∧ is_arrayref(refval(r1) .refval, j, putByteArray(bytes, r, i, st)) ↔ exactarray(refval(r1), byte_type, j, 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 20:
⊦ 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)) ↔ exactarray(refval(r1), byte_type, j, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (putByteArray(bytes, r, i, st) [r0 -- _length ] ) = st[r0 -- _length]], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val], [CSIMPSEQ : ⊦ (putByteArray(bytes, r, i, st) [r0 -- _type ] ) = st[r0 -- _type]], [CSIMPSEQ : ⊦ r ≠ r0 → ( r0 -- sk ∈ putByteArray (bytes, r, j, st) ↔ r0 -- sk ∈ st)], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]