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Proof step 22 from proof junkref-addarray-04 (previous step)

0 ≤ i, i < n→i(# vals), is_array(str, r, addarray(r, ty, vals, st)), is_reftype(ty), type∃(str, ty), newref(r, st), ¬ (addarray(r, ty, vals, st)[r0 -- _type]) .type ≤ ty ∨ junkref(str, r0, addarray(r, ty, vals, st)) ⊦ r0 = jvmref, r = jvmref, ty .jtelemtype = abstract_type, ty .jtelemtype = void_type, vals = [], vals[i→n(i)] ∈ vals

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ m < # vals → (¬ vals[m] ∈ vals ↔ false)
Proof step 21:
¬ i→n(i) < # vals, 0 ≤ i, i < n→i(# vals), is_array(str, r, addarray(r, ty, vals, st)), is_reftype(ty), type∃(str, ty), newref(r, st), ¬ (addarray(r, ty, vals, st)[r0 -- _type]) .type ≤ ty ∨ junkref(str, r0, addarray(r, ty, vals, st)) ⊦ r0 = jvmref, r = jvmref, ty .jtelemtype = abstract_type, ty .jtelemtype = void_type, vals = [], vals[i→n(i)] ∈ vals

Rule argument

[speclemmaarg: ,m < # vals → (¬ vals[m] ∈ vals ↔ false) ,[m, vals] → [i→n(i), vals] ,F ,list-del ,javavalues ,get-in ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i→n(i), vals)]]