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Proof step 62 from proof validref-subspec-samesubclasses (previous step)

tdname+∃(str0, class), same-subclasses-contains(class, str, str0), junkref(str, r, st), r -- _type ∈ st, is_typevalue(st[r -- _type]), st[r -- _type] .type ≤ mkclasstype(class), r ∈ st ⊦ r = jvmref, junkref(str0, r, st), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 61:
st[r -- _type] = typeval(ty), tdname+∃(str0, class), same-subclasses-contains(class, str, str0), junkref(str, r, st), r -- _type ∈ st, is_typevalue(st[r -- _type]), ty ≤ mkclasstype(class), r ∈ st ⊦ r = jvmref, junkref(str0, r, st), same-subclasses-contains(ty .jtelemtype .class, str, str0)

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)]]