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Proof step 42 from proof validref-subspec-samesubclasses (previous step)

st[r -- _type] = typeval(ty), is_arraytype(ty), r ∈ st, ty ≤ mkclasstype(class), r -- _type ∈ st, junkref(str, r, st), same-subclasses-contains(class, str, str0), tdname+∃(str0, class) ⊦ r = jvmref, junkref(str0, r, st), same-subclasses-contains(ty .type .jtelemtype .class, str, str0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 41:
ty = mkarraytype(ty0), st[r -- _type] = typeval(ty), is_arraytype(ty), r ∈ st, ty ≤ mkclasstype(class), r -- _type ∈ st, junkref(str, r, st), same-subclasses-contains(class, str, str0), tdname+∃(str0, class) ⊦ r = jvmref, junkref(str0, r, st), same-subclasses-contains(ty0 .jtelemtype .class, str, str0)

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [ty, ty0] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (ty, ty0)]]