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Proof step 25 from proof junkref-addarray-01 (previous step)

newref(r, st), class∃(str, class), junkrefs(str, r ' + refs0, mkarraytype(mkclasstype(class)), addarray(r, mkclasstype(class), vals, st)), tdname+∃(str, class), ∀ val. val ∈ vals → ¬ junkref(str, val .refval, st) ∧ is_referencevalue(val) ∧ (val .refval ≠ jvmref → st[val .refval -- _type] .type ≤ mkclasstype(class)) ⊦ r = jvmref, is_array(r, addarray(r, mkclasstype(class), vals, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ is_array(r, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st)
Proof step 24:
newref(r, st), class∃(str, class), junkrefs(str, r ' + refs0, mkarraytype(mkclasstype(class)), addarray(r, mkclasstype(class), vals, st)), tdname+∃(str, class), ∀ val. val ∈ vals → ¬ junkref(str, val .refval, st) ∧ is_referencevalue(val) ∧ (val .refval ≠ jvmref → st[val .refval -- _type] .type ≤ mkclasstype(class)) ⊦ r = jvmref, r ≠ jvmref ∧ r -- _type ∈ addarray(r, mkclasstype(class), vals, st) ∧ is_typevalue(addarray(r, mkclasstype(class), vals, st)[r -- _type]) ∧ is_arraytype((addarray(r, mkclasstype(class), vals, st)[r -- _type]) .type) ∧ okarray(r, (addarray(r, mkclasstype(class), vals, st)[r -- _type]) .type .type, addarray(r, mkclasstype(class), vals, st))

Rule argument

[speclemmaarg: , is_array(r, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st) ,[st, r] → [addarray(r, mkclasstype(class), vals, st), r] ,F ,okfuns , ,is-any-array ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r, mkclasstype(class), vals, st), r)]]