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Proof step 13 from proof is_valid_ref-putbytearray (previous step)

¬ ¬ is_arraytype((putByteArray(bytes, r, i, st)[r0 -- _type]) .type), 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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
⊦ is_arraytype(st[r -- _type] .type) → ¬ is_obj(r, st)
Proof step 7:
⊦ is_arraytype(st[r -- _type] .type) → ¬ is_obj(str, r, st)
Proof step 12:
st[r0 -- _type] .type ≤ ty, is_arraytype(st[r0 -- _type] .type) ⊦ ty = mkclasstype(`java.lang.Object' .class), is_valid_ref(r0, putByteArray(bytes, r, i, st)) ∧ is_array(str, r0, putByteArray(bytes, r, i, 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]])]]