исследование ключевых слов `type` и` # `в scala

Может ли кто-нибудь объяснить, какtype ключевое слово и# оператор работает в Scala и как его использовать? Пожалуйста, посмотрите на примеры.

//Example1
scala>  type t1 = Option.type
defined type alias t1

//Shouldn't this work since previous example simply works?
scala>  type t2 = String.type
<console>:7: error: type mismatch;
 found   : String.type
 required: AnyRef
       type t2 = String.type
         ^

//lets define custom trait T
scala>  trait T
defined trait T

//... and obtain it's type like in Example1.
//Shouldn't this work since previous Example1 simply works?
scala>  type t3 = T.type
<console>:7: error: not found: value T
       type t3 = T.type
         ^

//Lets define some value of type T
scala>  val v4 = new T{}
v4: T = $anon$1@5c3e8c76

//and obtain it's type (works)
scala>  type t4 = v4.type
defined type alias t4

//this doesn't work
scala>  type t4_1 = (new T{}).type
<console>:1: error: identifier expected but 'new' found.
       type t4_1 = (new T{}).type

//as well as this (doesn't work)
scala>  type t5 = "abc".type
<console>:1: error: identifier expected but string literal found.
       type t5 = "abc".type
         ^

//but this compiles well
scala>  val v6 = "abc"
v6: String = abc

scala>  type t6 = v6.type
defined type alias t6


//lets create some values of created types:
scala>  type t1 = Option.type
defined type alias t1

scala>  val v1_1 = Some(10)
v1_1: Some[Int] = Some(10)

scala>  type t7 = v1_1.type
defined type alias t7

scala>  val v7:t7 = null
v7: t7 = null

scala>  val v7_1:t7 = v1_1
v7_1: t7 = Some(10)

scala>  val v7_2:t7 = Some(10)
<console>:9: error: type mismatch;
 found   : Some[Int]
 required: t7
    (which expands to)  v1_1.type
       val v7_2:t7 = Some(10)
             ^


//next let's try # operator

scala>  class X[A,B](a:A,b:B)
defined class X

//doesn't work
scala>  type xa = X[A,B]#A
<console>:8: error: not found: type A
       type xa = X[A,B]#A
           ^
<console>:8: error: not found: type B
       type xa = X[A,B]#A
             ^

//but such approach works:
scala>  trait X2[C]{
  type A
  type B
  val c:C
}
defined trait X2

scala>  type xa2_1 = X2[String]#A
defined type alias xa2_1

scala>  type xa2_2[M] = X2[M]#A
defined type alias xa2_2

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