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Proof step 75 from proof junkref-subspec-samesubclasses (previous step)

refs0 .first = st[r -- i '] .refval, 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, refs0, st[r -- _type] .type .type, st), is_array(str0, r, st), has_classtype(st[r -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval, ∀ str0, str, r, st, refs. # refs < # refs0 → ( same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r ' + refs, st[r -- _type] .type, st) → junkref(str0, r, st)) ⊦ r = jvmref, refs0 = [], junkref(str0, r, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 74:
refs0 = r0 + refs1, r0 = st[r -- i '] .refval, 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, refs0, st[r -- _type] .type .type, st), is_array(str0, r, st), has_classtype(st[r -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval, ∀ str0, str, r, st, refs. # refs < # refs0 → ( same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r ' + refs, st[r -- _type] .type, st) → junkref(str0, r, st)) ⊦ r = jvmref, refs0 = [], junkref(str0, r, st)

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [refs0, r0, refs1] ,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, refs1)]]