Reversing an application of `sym` to `ua` and `isoToEquiv` in cubical type theory

I am proving a kind of structure invariance principle for magmas in Cubical Type Theory with the Agda/Cubical library. This is done by constructing a path between two simple magmas and then transporting proofs of simple properties about this path. I have already obtained most of the proof (see my code repository) but did not manage yet to complete the following lemma.

At some point in the proof I have the following given:

  • A bijection between types: f : ℕ → ℕ₀
  • The isomorphism constructed with f: fIso : Iso ℕ ℕ₀
  • A function that gives the inverse isomorphism of an isomorphism: invIso : Iso A B → Iso B A

Now, I would like to prove that:

sym (ua (isoToEquiv fIso)) ≡ ua (isoToEquiv (invIso fIso)) 

There are two parts to my question:

  • Is this a valid theorem in HoTT? Although this statement seems valid, maybe I have produced a false statement?
  • Are there built-in functions in the Agda/Cubical that may help in the proof?

The type ‘Microsoft.SharePoint.SPUserCollection’ has no constructors defined

I need to get users within SPFieldUserValueCollection and set them inside SPUserCollection, but I have the following build error:

The type ‘Microsoft.SharePoint.SPUserCollection’ has no constructors defined

 SPFieldUserValueCollection employees = item["employees"] as SPFieldUserValueCollection;             SPUserCollection users = new SPUserCollection();              if (values != null)             {                 foreach (SPFieldUserValue userValue in employees)                 {                     users.Add(userValue.User.LoginName, userValue.User.Email, userValue.User.Name, userValue.User.Notes);                 }                  return users;             } 

How I can initialize SPUserCollection?

Customization mistakes and changing the layout type of a core page configuration xml

In the official M2 docs we have this quote

Changing handle inheritance. For example, you should not change the page type parent handle.

Pulled from here M2 Frontend Dev Docs

By this I understand you should not make changes like 1column -> 3columns. If this means something else please correct me. If I’m right, what are the reasons for which this is bad practice?

What is the recommended way to change the layout of a page? If this is considered a bad practice?

required a bean of type ‘com.example.demo.bookRepo.BookRepository’ that could not be found

Field bookRepository in com.example.demo.bookController.BookController required a bean of type ‘com.example.demo.bookRepo.BookRepository’ that could not be found.

The injection point has the following annotations: – @org.springframework.beans.factory.annotation.Autowired(required=true)

here is my

 @Document(collection = "Book") public class Book {      @Id     private int bookId;     private String bookName;     private String bookAuthor;      public int getBookId() {         return bookId;     }      public Book(int bookId, String bookName, String bookAuthor) {         super();         this.bookId = bookId;         this.bookName = bookName;         this.bookAuthor = bookAuthor;     }      public void setBookId(int bookId) {         this.bookId = bookId;     }      public String getBookName() {         return bookName;     }      public void setBookName(String bookName) {         this.bookName = bookName;     }      public String getBookAuthor() {         return bookAuthor;     }      public void setBookAuthor(String bookAuthor) {         this.bookAuthor = bookAuthor;     }      @Override     public String toString() {         return "Book [bookId=" + bookId + ", bookName=" + bookName + ", bookAuthor=" + bookAuthor + "]";     }  }  

here is my :

 @Repository public interface BookRepository extends MongoRepository<Book, Integer>{  }  

here is my

 @RestController public class BookController {      @Autowired     private BookRepository bookRepository;      @PostMapping("/addBook")     public String addBook(@RequestBody Book book) {;         return "the boo has been added. ID : " + book.getBookId();     }      @GetMapping("/findBook/{id}")     public Optional<Book> findBookByID(@PathVariable int id) {         return bookRepository.findById(id);     }      @GetMapping("/findBook")     public List<Book> getAllTheBooks() {         return bookRepository.findAll();     }      @DeleteMapping("/deleteBook")     public String deleteBook(@PathVariable int id) {         bookRepository.deleteById(id);         return "the book with the id : " + id + " is deleted from the DB ";     } }  

here is my pom.xml:

<?xml version="1.0" encoding="UTF-8"?> <project xmlns="" xmlns:xsi=""     xsi:schemaLocation="">     <modelVersion>4.0.0</modelVersion>     <parent>         <groupId>org.springframework.boot</groupId>         <artifactId>spring-boot-starter-parent</artifactId>         <version>2.1.4.RELEASE</version>         <relativePath /> <!-- lookup parent from repository -->     </parent>     <groupId>com.example</groupId>     <artifactId>restProject-3</artifactId>     <version>0.0.1-SNAPSHOT</version>     <name>restProject-3</name>     <description>Demo project for Spring Boot</description>      <properties>         <java.version>1.8</java.version>     </properties>      <dependencies>         <dependency>             <groupId>org.springframework.boot</groupId>             <artifactId>spring-boot-starter-data-mongodb</artifactId>         </dependency>         <dependency>             <groupId>org.springframework.boot</groupId>             <artifactId>spring-boot-starter-web</artifactId>         </dependency>          <dependency>             <groupId>org.springframework.boot</groupId>             <artifactId>spring-boot-starter-test</artifactId>             <scope>test</scope>         </dependency>     </dependencies>      <build>         <plugins>             <plugin>                 <groupId>org.springframework.boot</groupId>                 <artifactId>spring-boot-maven-plugin</artifactId>             </plugin>         </plugins>     </build>  </project>    

i am not able to access the BookRepository bean. can someone please help me out.

in function declarations, what advantages are there to having the type of the parameter specified after the parameter name?

For typed languages, what advantages/disadvantages are there to specifying the parameter type after the parameter name?

For languages like C and Java, the type comes first:

void myfunc(TypeA param1, TypeB param2); 

For other languages like Scala, Rust, etc, the type comes after the parameter name:

fn myfunc(param1: TypeA, param2: TypeB) {} 

What advantages are there to this approach? I could see in languages where specifying a type is optional (or inferred) and can be left off, but at least for Rust types have to be specified in a function’s parameter list.

How to find the type of devices that are connected on my network for the given IP? For eg: Printer, router, phone, switch, etc

I’m trying to find out what are the type of devices that are connected on my network. Will try to implement through python code to get the details.

I tried using tools like Advanced IP scanner to scan manually. But was able to get only the Vendor/Manufacturer details.

Would appreciate if you could provide any python code block or any other suggestion on how I can find the type of device connected.

I need to alter Paragraphs field, but only text_format field type getting alter, Other field not getting alter

I need to alter Paragraphs field, but only text_format field type getting alter, Other field not getting alter in drupal 8

function mymodoule_field_widget_entity_reference_paragraphs_form_alter(&$  element, &$  form_state, $  context) {   if ($  element['#paragraph_type'] == 'text_and_counter_block') {     //echo '<pre>'; var_dump($  context);     //print_r($  element['paragraph__field_background_style']); exit();     $  element['subform']['field_two_column_title']['widget'][0]['#title'] = 'Altered title';     $  element['subform']['field_two_column_style']['widget'][0]['#title'] = 'Altered title';    } }