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Proof step 27 from proof isobj-subset (previous step)

st[r -- _type] = typeval(mkclasstype(class)), r -- _type ∈ st, is_obj(r, class, st), st ⊆ st1, r -- _type ∈ st1, r ∈ st, r ∈ st1 ⊦ r = jvmref, is_obj(r, st1[r -- _type] .type .class, st1) ∧ is_classtype(st1[r -- _type] .type) ∧ is_typevalue(st1[r -- _type])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ st1 ⊆ st2 ↔ (∀ rk. rk ∈ st1 → rk ∈ st2 ∧ st1[rk] = st2[rk])
Proof step 26:
st[r -- _type] = typeval(mkclasstype(class)), r -- _type ∈ st, is_obj(r, class, st), ∀ rk. rk ∈ st → rk ∈ st1 ∧ st[rk] = st1[rk], r -- _type ∈ st1, r ∈ st, r ∈ st1 ⊦ r = jvmref, is_obj(r, st1[r -- _type] .type .class, st1) ∧ is_classtype(st1[r -- _type] .type) ∧ is_typevalue(st1[r -- _type])

Rule argument

[speclemmaarg: ,st1 ⊆ st2 ↔ (∀ rk. rk ∈ st1 → rk ∈ st2 ∧ st1[rk] = st2[rk]) ,[st2, st1] → [st1, st] ,F ,store ,javastore ,Subset ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, st)]]