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Proof step 12 from proof fits-no-refval (previous step)

st[r -- sk0] = refval(r0), is_obj(str, r, st), junkref(str, r0, st), sks1 ⊑ sks, fits(r0, sks + sk ', st), is_classtype(st[r -- _type] .type), sk0 ∈ instfields(st[r -- _type] .type .class), ∀ sks0, r, sk, st, str. sks0 ⊑ sks ∧ fits(r, sks + sk ', st) → is_referencevalue(st[r -- sks0]) ∨ junkref(str, r, st) ⊦ r = jvmref, junkref(str, r, st), is_referencevalue(st[r -- (sk0 ' + sks1)])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
st[r -- _type] .type = mkclasstype(class), st[r -- sk0] = refval(r0), is_obj(str, r, st), junkref(str, r0, st), sks1 ⊑ sks, fits(r0, sks + sk ', st), is_classtype(st[r -- _type] .type), sk0 ∈ instfields(class), ∀ sks0, r, sk, st, str. sks0 ⊑ sks ∧ fits(r, sks + sk ', st) → is_referencevalue(st[r -- sks0]) ∨ junkref(str, r, st) ⊦ r = jvmref, junkref(str, r, st), is_referencevalue(st[r -- (sk0 ' + sks1)])

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)]]