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Proof step 57 from proof validref-subspec-samesubclasses (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 56:
st[r -- _type] = typeval(ty), tdname+∃(str0, class), same-subclasses-contains(class, str, str0), junkref(str, r, st), r -- _type ∈ st, is_classtype(ty), ty .class ≤ class, r ∈ st ⊦ r = jvmref, class = `java.lang.Object' .class, junkref(str0, r, st), same-subclasses-contains(ty .class, str, str0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_classtype(ty) → ¬ is_arraytype(ty)])]]