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Proof step 47 from proof disjoint-forward-field (previous step)

disjoint(str, refs, st), r ∈ refs, r1 ∈ refs, sk ∈ instfields(st[r1 -- _type] .type .class), is_classtype(st[r1 -- _type] .type) ⊦ r1 = jvmref, r = r1, junkref(str, r1, st), disjoint(str, (refs -l r1) + st[r1 -- sk] .refval ', st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 46:
st[r1 -- _type] .type = mkclasstype(class), disjoint(str, refs, st), r ∈ refs, r1 ∈ refs, sk ∈ instfields(class), is_classtype(st[r1 -- _type] .type) ⊦ r1 = jvmref, r = r1, junkref(str, r1, st), disjoint(str, (refs -l r1) + st[r1 -- sk] .refval ', st)

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[r1 -- _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[r1 -- _type] .type, class)]]