首页 \ 问答 \ Coq依赖于重写的类型错误(Coq - dependent type error in rewrite)

Coq依赖于重写的类型错误(Coq - dependent type error in rewrite)

我正在使用数学组件库,我试图证明这一点:

Lemma card_sub_ord (k : nat) (P : nat -> bool) :
  #|[set i : 'I_k | P i]| <= k.
Proof.
  set S := [set i : 'I_k | P i].
  have H1 : S \subset 'I_k.
    by apply: subset_predT.
  have H2 : #|S| <= #|'I_k|.
    by apply: subset_leq_card.
  have H3 : k = #|'I_k|.
    by rewrite card_ord.
  (* Only goal left: #|S| <= k *)
  rewrite H3 (* <--- this fails *)
Admitted.

最后一次重写失败,并显示错误消息:

错误:重写时的依赖类型错误(fun _pattern_value_ : nat => is_true (#|S| <= _pattern_value_)

有关为什么重写失败或对此错误消息的解释的任何想法?


I am using the Mathematical Components library and I am trying to prove this:

Lemma card_sub_ord (k : nat) (P : nat -> bool) :
  #|[set i : 'I_k | P i]| <= k.
Proof.
  set S := [set i : 'I_k | P i].
  have H1 : S \subset 'I_k.
    by apply: subset_predT.
  have H2 : #|S| <= #|'I_k|.
    by apply: subset_leq_card.
  have H3 : k = #|'I_k|.
    by rewrite card_ord.
  (* Only goal left: #|S| <= k *)
  rewrite H3 (* <--- this fails *)
Admitted.

The last rewrite fails with an error message:

Error: dependent type error in rewrite of (fun _pattern_value_ : nat => is_true (#|S| <= _pattern_value_)

Any idea on why the rewrite fails or an explanation of this error message?


原文:https://stackoverflow.com/questions/43919377
更新时间:2024-01-16 07:01

最满意答案

文件夹中插入文件时 ,需要在文件的parents属性中指定正确的文件夹ID。 使用Python:

folder_id = '0BwwA4oUTeiV1TGRPeTVjaWRDY1E'
file_metadata = {
  'name' : 'photo.jpg',
  'parents': [ folder_id ]
}
media = MediaFileUpload('files/photo.jpg',
                        mimetype='image/jpeg',
                        resumable=True)
file = drive_service.files().create(body=file_metadata,
                                    media_body=media,
                                    fields='id').execute()
print 'File ID: %s' % file.get('id')

正如在Files:insert中进一步提到的那样,在请求体中设置parents[]属性会将文件放在所有提供的文件夹中。 如果parents[]字段中没有提供文件夹,则该文件将放在默认的根文件夹中。

希望有所帮助!


In inserting a file in a folder, you need to specify the correct folder ID in the parents property of the file. Using Python:

folder_id = '0BwwA4oUTeiV1TGRPeTVjaWRDY1E'
file_metadata = {
  'name' : 'photo.jpg',
  'parents': [ folder_id ]
}
media = MediaFileUpload('files/photo.jpg',
                        mimetype='image/jpeg',
                        resumable=True)
file = drive_service.files().create(body=file_metadata,
                                    media_body=media,
                                    fields='id').execute()
print 'File ID: %s' % file.get('id')

As further mentioned in Files: insert, setting the parents[] property in the request body will put the file in all of the provided folders. If no folders are provided in parents[] field, the file will be placed in the default root folder.

Hope that helps!

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