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Proof step 17 from proof junkrefs-put-refval-02 (previous step)

acc .first = st[r1 -- fs '] .refval, junkrefs(str, acc, fs .type, st[r -- i ', refval(r0)]), mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type, st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), fs ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- fs ']), ∀ st, r0, r, str, ty, i. mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type ∧ junkrefs(str, acc, ty, st[r -- i ', refval(r0)]) → r = jvmref ∨ r0 = jvmref ∨ junkrefs(str, acc, ty, st) ∨ junkref(str, r0, st) ⊦ r1 = jvmref, r0 = jvmref, r = jvmref, acc = [], junkrefs(str, r1 ' + acc, ty, st), junkref(str, r0, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
acc = r2 + refs, r2 = st[r1 -- fs '] .refval, junkrefs(str, acc, fs .type, st[r -- i ', refval(r0)]), mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type, st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), fs ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- fs ']), ∀ st, r0, r, str, ty, i. mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type ∧ junkrefs(str, acc, ty, st[r -- i ', refval(r0)]) → r = jvmref ∨ r0 = jvmref ∨ junkrefs(str, acc, ty, st) ∨ junkref(str, r0, st) ⊦ r1 = jvmref, r0 = jvmref, r = jvmref, acc = [], junkrefs(str, r1 ' + acc, ty, st), junkref(str, r0, st)

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [acc, r2, refs] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (acc, r2, refs)]]