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Proof step 7 from proof validreflist-getarray (previous step)

validref(str, r, mkarraytype(ty), st), is_reftype(ty), val ∈ getarray(r, st) ⊦ r = jvmref, is_referencevalue(val) ∧ validref(str, val .refval, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ val ∈ getarray(r, st) ↔ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ st[r -- i '] = val)
Proof step 6:
validref(str, r, mkarraytype(ty), st), is_reftype(ty), ∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ st[r -- i '] = val ⊦ r = jvmref, is_referencevalue(val) ∧ validref(str, val .refval, ty, st)

Rule argument

[speclemmaarg: , val ∈ getarray(r, st) ↔ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ st[r -- i '] = val) ,[st, r, val] → [st, r, val] ,F ,storearrays , ,getarray-in ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, val)]]