NameErrorの解消

前提

rails で投稿アプリを作っています。

実現したいこと

エラーの修正
カテゴリー機能の実装
カテゴリー検索機能の実装

発生している問題・エラーメッセージ

NameError in Posts#new
Showing C:/Users/user/Desktop/sentinel/app/views/posts/new.html.erb where line #19 raised:

undefined local variable or method `form' for #<ActionView::Base:0x00000000024248>
Did you mean?  for
               fork

該当のソースコード

<h1>新規投稿</h1>
<%= form_with model: @post, url: '/posts', local:true do |f| %>
  <div class="field">
    <h4>タイトル</h4>
    <%= f.text_field :title %>
    <h4>あらすじ</h4>
    <%= f.text_area :summary %>
    <h4>見どころ</h4>
    <%= f.text_area :highlight %>
  </div>

  <div class="field">
    <%= f.label :image %>
    <%= f.file_field :image %>
  </div>

  <div class="check_box">
  <span>タグ</span>
  <%= form.collection_check_boxes(:tag_ids, Tag.all, :id, :name) do |tag| %>
   <div>
     <%= tag.label do %>
       <%= tag.check_box %>
       <%= tag.text %>
     <% end %>
   </div>
  <% end %>
  </div>

 <%= f.submit '投稿' %>
<% end %>

def index
    @posts = params[:tag_id].present? ? Tag.find(params[:tag_id]).posts : Post.all

    
    @posts = @posts.where('title LIKE ?', "%#{params[:search]}%") if params[:search].present?
  end

  def new
    @post = Post.new 
  end

  def create
    post = Post.new(post_params)
    post.user_id = current_user.id
    if post.save
      redirect_to post_path(post.id)
    else
      redirect_to :action => "new"
    end
  end

  def post_params
    params.require(:post).permit(:title, :summary, :highlight, :image, tag_ids: [])
  end

  def show
    @post = Post.find(params[:id])
    @comments = @post.comments
    @comment = Comment.new
  end

  def edit
    @post = Post.find(params[:id])
  end

  def update
    post = Post.find(params[:id])
    post.update(post_params)
    redirect_to post_path(post.id)
  end

  def destroy
    post = Post.find(params[:id])
    post.destroy
    redirect_to posts_path
  end

  private
  def post_params
    params.require(:post).permit(:title, :summary, :highlight, :image)
  end
end