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Proof step 20 from proof is_valid_ref-putbytearray (conclusion)

⊦ st[r0 -- _type] .type ≤ ty ∧ ¬ is_arraytype(ty) ∧ ty ≠ mkclasstype(`java.lang.Object' .class) → (is_valid_ref(str, r0, putByteArray(bytes, r, i, st)) ↔ is_valid_ref(str, r0, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ is_valid_ref(str, r, st) ↔ ¬ ¬ (is_valid_ref(r, st) ∧ (is_obj(str, r, st) ∨ is_array(str, r, st)))
Proof step 2:
⊦ is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st)
Proof step 3:
⊦ is_obj(r, putByteArray(bytes, r1, i, st)) ↔ is_obj(r, st)
Proof step 4:
⊦ is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st)
Proof step 19:
st[r0 -- _type] .type ≤ ty ⊦ ty = mkclasstype(`java.lang.Object' .class), is_valid_ref(r0, putByteArray(bytes, r, i, st)) ∧ ( class+∃(str, st[r0 -- _type] .type .class) ∧ ¬ is_abstract(st[r0 -- _type] .type .class) ∧ is_obj(r0, st) ∨ is_array(str, r0, putByteArray(bytes, r, i, st))) ↔ is_obj(str, r0, st) ∨ is_array(str, r0, st), is_arraytype(ty)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : storearrays, , putBar-at-type, ⊦ (putByteArray (bytes, r, i, st) [r0 -- _type ] ) = st[r0 -- _type]])]]