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Proof step 73 from proof junkref-subspec-samesubclasses (previous step)

is_array(str0, r, st), has_classtype(st[r -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), junkrefs(str, st[r -- i '] .refval ' + refs1, st[r -- _type] .type .type, st), ∀ str0, str, r1, st0, refs. # refs < # (st[r -- i '] .refval + refs1) → ( same-subclasses-contains(st0[r1 -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r1 ' + refs, st0[r1 -- _type] .type, st0) → junkref(str0, r1, st0)) ⊦ r = jvmref, junkref(str0, r, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 72:
st[r -- i '] = refval(r0), is_array(str0, r, st), has_classtype(st[r -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), junkrefs(str, r0 ' + refs1, st[r -- _type] .type .type, st), ∀ str0, str, r1, st0, refs. # refs < # (r0 + refs1) → ( same-subclasses-contains(st0[r1 -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r1 ' + refs, st0[r1 -- _type] .type, st0) → junkref(str0, r1, st0)) ⊦ r = jvmref, junkref(str0, r, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r -- i '], r0] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r -- i '], r0)]]