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Proof step 60 from proof validref-subspec-samesubclasses (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ ¬ is_arraytype(ty) → ty .jtelemtype = ty
Proof step 43:
¬ ¬ is_arraytype(ty), st[r -- _type] = typeval(ty), r ∈ st, ty ≤ mkclasstype(class), r -- _type ∈ st, junkref(str, r, st), same-subclasses-contains(class, str, str0), tdname+∃(str0, class) ⊦ r = jvmref, same-subclasses-contains(ty .jtelemtype .class, str, str0), junkref(str0, r, st)
Proof step 59:
¬ is_arraytype(ty), st[r -- _type] = typeval(ty), r ∈ st, ty ≤ mkclasstype(class), r -- _type ∈ st, junkref(str, r, st), same-subclasses-contains(class, str, str0), tdname+∃(str0, class) ⊦ r = jvmref, same-subclasses-contains(ty .class, str, str0), junkref(str0, r, st)

Rule argument

[speclemmaarg: ,¬ is_arraytype(ty) → ty .jtelemtype = ty ,[ty] → [ty] ,F ,typefuns , ,elemtype-base ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (ty)]]