coq - Coq 证明中的省略号是什么意思？

Question

这是此在线课程中出现的证明https://softwarefoundations.cis.upenn.edu/plf-current/StlcProp.html#lab222。

Proof with eauto.
  remember (@empty ty) as Gamma.
  intros t t' T HT. generalize dependent t'.
  induction HT;
       intros t' HE; subst Gamma; subst;
       try solve [inversion HE; subst; auto].
  - (* T_App *)
    inversion HE; subst...
    (* Most of the cases are immediate by induction,
       and [eauto] takes care of them *)
    + (* ST_AppAbs *)
      apply substitution_preserves_typing with T11...
      inversion HT1...
Qed.

椭圆在这条线上有什么作用？ apply substitution_preserves_typing with T11...

标签： coq

Answer 1

省略号应用某种预定义的策略。在这个证明中，它是eauto因为证明以 开头Proof with eauto。有关更多信息，请参阅参考手册。