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Proof step 24 from proof isobj-subset (previous step)

st[r -- _type] = typeval(mkclasstype(class)), st1[r -- _type] = typeval(mkclasstype(class)), r ∈ st1, r ∈ st, r -- _type ∈ st1, is_obj(r, class, st), r -- _type ∈ st, ∀ rk. rk ∈ st → rk ∈ st1 ∧ st[rk] = st1[rk] ⊦ r = jvmref, is_obj(r, class, st1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ is_obj(r, class, st) ↔ r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st ∧ goodfieldsandtypes(r, instfields(class), st)
Proof step 23:
st[r -- _type] = typeval(mkclasstype(class)), st1[r -- _type] = typeval(mkclasstype(class)), r ∈ st1, r ∈ st, r -- _type ∈ st1, is_obj(r, class, st), r -- _type ∈ st, ∀ rk. rk ∈ st → rk ∈ st1 ∧ st[rk] = st1[rk] ⊦ r = jvmref, r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st1 ∧ goodfieldsandtypes(r, instfields(class), st1)

Rule argument

[crewrite-arg: is_obj-def, F, [st, class, r] → [st1, class, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, class, r)]]