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Proof step 30 from proof unchNorec-isobj (previous step)

unchangedNorec(r, st, st0), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, st[r -- _type] .type .class, st), r ∈ st ⊦ r = jvmref, is_obj(r, st0[r -- _type] .type .class, st0) ∧ is_classtype(st0[r -- _type] .type) ∧ is_typevalue(st0[r -- _type]) ∧ r -- _type ∈ st0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 29:
st[r -- _type] .type = mkclasstype(class), unchangedNorec(r, st, st0), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_classtype(st[r -- _type] .type), is_obj(r, class, st), r ∈ st ⊦ r = jvmref, is_obj(r, st0[r -- _type] .type .class, st0) ∧ is_classtype(st0[r -- _type] .type) ∧ is_typevalue(st0[r -- _type]) ∧ r -- _type ∈ st0

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] → [st[r -- _type] .type, class] 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 : (st[r -- _type] .type, class)]]