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Proof step 11 from proof cyclic-def-object (previous step)

is_obj(str, r, st), refs1 = [] ∨ mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- mkfs(class, ty, fieldvar) ']) ∧ refs1 .first = st[r -- mkfs(class, ty, fieldvar) '] .refval ∧ validrefs(str, refs1, ty, st) ⊦ r = jvmref, validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st), st[r -- _type] .type ≤ mkclasstype(`java.lang.Object' .class), ¬ r ∈ refs1 ∧ ¬ dups(refs1)

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

[speclemmaarg: is_referencevalue(val) ,r = val .refval ↔ val = refval(r) ,[val, r] → [st[r -- mkfs(class, ty, fieldvar) '], r0] ,T ,javavalue , ,elim-refval ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_obj(str, r, st) → st[r -- _type] .type ≤ mkclasstype (`java.lang.Object' .class)], [CSIMPELIM : is_referencevalue(val) ⊦ r = val .refval ↔ val = refval(r)])], [EXTRATERMS : (st[r -- mkfs(class, ty, fieldvar) '], r0)]]