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Proof step 54 from proof validref-subspec-samesubclasses (previous step)

st[r -- _type] = typeval(mkclasstype(class0)), tdname+∃(str0, class), same-subclasses-contains(class, str, str0), junkref(str, r, st), r -- _type ∈ st, class0 ≤ class, r ∈ st ⊦ r = jvmref, class = `java.lang.Object' .class, junkref(str0, r, st), same-subclasses-contains(class0, str, str0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 53:
⊦ same-subclasses-contains(class, str, str0) ∧ class0 ≤ class ∧ tdname+∃(str0, class) → same-subclasses-contains(class0, str, str0)

Rule argument

[crewrite-arg: same-subclasses-subclass , F , [class, str, str0, class0] → [class, str, str0, class0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (class, str, str0, class0)]]