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Proof step 29 from proof isobj-subset (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 28:
st[r -- _type] = typeval(ty), ty = mkclasstype(class), r ∈ st1, r ∈ st, r -- _type ∈ st1, st ⊆ st1, is_obj(r, class, st), is_typevalue(st[r -- _type]), r -- _type ∈ st ⊦ 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: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r -- _type], ty] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r -- _type], ty)]]