如何在部分隱式中設置所有出現的變量

Question

讓我們以本Section為例

Section myList.

Variable X : Type.

Definition myListApp2 (l1 l2       : list X) :=
  app l1 l2.

Definition myListApp3 (l1 l2 l3    : list X) :=
  app (app l1 l2) l3.

Definition NoXUse n := S n.

Definition myListApp4 (l1 l2 l3 l4 : list X) :=
  app (app (app l1 l2) l3) l4.

End myList.

Arguments myListApp2 {X}.
Arguments myListApp3 {X}.
Arguments myListApp4 {X}.

在Section End后，我需要手動設置所有隱式定義的第一個參數，有沒有辦法告訴 Coq Variable X始終是隱式的？

Answer 1

Context命令是允許此操作的Variable的變體。

Section myList.

Context {X : Type}.

Definition myListApp2 (l1 l2       : list X) :=
  app l1 l2.

Definition myListApp3 (l1 l2 l3    : list X) :=
  app (app l1 l2) l3.

Definition NoXUse n := S n.

Definition myListApp4 (l1 l2 l3 l4 : list X) :=
  app (app (app l1 l2) l3) l4.

End myList.