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Proof step 5 from proof validref-not-tdnameex (previous step)

st[r -- _type] .type = mkclasstype(class), is_obj(str, r, st), validref(str, r, ty, st), is_classtype(ty), class ≤ ty .class ⊦ r = jvmref, tdname+∃(str, class)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
ty = mkclasstype(class0), st[r -- _type] .type = mkclasstype(class), is_obj(str, r, st), validref(str, r, ty, st), is_classtype(ty), class ≤ class0 ⊦ r = jvmref, tdname+∃(str, class)

Rule argument

[x0lemmaarg: spec-name: javatype instance-name: lemma-name: elim-02 antecedent: succedent: is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) substlist: [ty, class] → [ty, class0] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (ty, class0)]]