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Proof step 11 from proof okarray-addarray (previous step)

is_arrayref(r, n→i(# vals), addarray(r, ty, vals, st)), val ∈ vals, ∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) ≤ j → okval(addarray(r, ty, vals, st)[r -- j '], ty) ⊦ r = jvmref, okval(val, ty)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ val ∈ vals ↔ (∃ n. n < # vals ∧ vals[n] = val)
Proof step 10:
is_arrayref(r, n→i(# vals), addarray(r, ty, vals, st)), ∃ n. n < # vals ∧ vals[n] = val, ∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) ≤ j → okval(addarray(r, ty, vals, st)[r -- j '], ty) ⊦ r = jvmref, okval(val, ty)

Rule argument

[speclemmaarg: ,val ∈ vals ↔ (∃ n. n < # vals ∧ vals[n] = val) ,[vals, val] → [vals, val] ,F ,list-del ,javavalues ,in-get ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (vals, val)]]