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Proof step 35 from proof junkref-class-01 (previous step)

refs0 .first = st[r -- fs '] .refval, is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- fs ']), junkrefs(str, refs0, fs .type, st) ⊦ refs0 = [], ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ (is_reftype(fs .type) ∨ fs .type = abstract_type) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ is_referencevalue(st[r -- fs ']) ∨ ¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 34:
refs0 = r0 + refs, r0 = st[r -- fs '] .refval, is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- fs ']), junkrefs(str, refs0, fs .type, st) ⊦ refs0 = [], ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ (is_reftype(fs .type) ∨ fs .type = abstract_type) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ is_referencevalue(st[r -- fs ']) ∨ ¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st))

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [refs0, r0, refs] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (refs0, r0, refs)]]