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Proof step 8 from proof is_valid_ref-02 (previous step)

st[r -- _type] = typeval(mkclasstype(class)), goodfieldsandtypes(r, instfields(class), st), r -- _type ∈ st, r ∈ st ⊦ r = jvmref, class+∃(str, class) ∧ ¬ is_abstract(class) ∧ is_obj(r, class, st) ∨ is_array(str, r, st) ↔ class+∃(str, class) ∧ ¬ is_abstract(class)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ is_obj(r, class, st) ↔ r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st ∧ goodfieldsandtypes(r, instfields(class), st)
Proof step 7:
st[r -- _type] = typeval(mkclasstype(class)), goodfieldsandtypes(r, instfields(class), st), r -- _type ∈ st, r ∈ st ⊦ r = jvmref, class+∃(str, class) ∧ ¬ is_abstract(class) ∧ r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st ∧ goodfieldsandtypes(r, instfields(class), st) ∨ is_array(str, r, st) ↔ class+∃(str, class) ∧ ¬ is_abstract(class)

Rule argument

[crewrite-arg: is_obj-def, F, [st, class, r] → [st, class, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, class, r)]]