doc(explicit null): typos and polishing

docs/docs/reference/other-new-features/explicit-nulls.md

@@ -11,7 +11,7 @@ This means the following code will no longer typecheck:
 val x: String = null // error: found `Null`,  but required `String`
 ```
 
-Instead, to mark a type as nullable we use a [type union](https://dotty.epfl.ch/docs/reference/new-types/union-types.html)
+Instead, to mark a type as nullable we use a [union type](https://dotty.epfl.ch/docs/reference/new-types/union-types.html)
 
 ```
 val x: String|Null = null // ok
@@ -51,10 +51,10 @@ More details can be found in [safe initialization](./safe-initialization.md).
 ## Equality
 
 We don't allow the double-equal (`==` and `!=`) and reference (`eq` and `ne`) comparison between
-`AnyRef` and `Null` anymore, since a variable with non-nullable type shouldn't have null value.
+`AnyRef` and `Null` anymore, since a variable with a non-nullable type cannot have `null` as value.
 `null` can only be compared with `Null`, nullable union (`T | Null`), or `Any` type.
 
-For some reason, if we really want to compare `null` with non-null values, we can use cast.
+For some reason, if we really want to compare `null` with non-null values, we have to provide a type hint (e.g. `: Any`).
 
 ```scala
 val x: String = ???
@@ -87,7 +87,7 @@ So far, we have found the following useful:
     This means that given `x: String|Null`, `x.nn` has type `String`, so we can call all the
     usual methods on it. Of course, `x.nn` will throw a NPE if `x` is `null`.
 
-    Don't use `.nn` on mutable variables directly, which may introduce unknown value into the type.
+    Don't use `.nn` on mutable variables directly, because it may introduce an unknown type into the type of the variable.
 
 ## Java Interop
 
@@ -99,7 +99,7 @@ Specifically, we patch
 * the type of fields
 * the argument type and return type of methods
 
-`UncheckedNull` is an alias for `Null` with magic properties (see below). We illustrate the rules with following examples:
+`UncheckedNull` is an alias for `Null` with magic properties (see [below](#uncheckednull)). We illustrate the rules with following examples:
 
   * The first two rules are easy: we nullify reference types but not value types.
 
@@ -174,7 +174,7 @@ Specifically, we patch
     }
     ```
 
-    In this case, since `Box` is Scala-defined, and we will get `Box[T|UncheckedNull]|UncheckedNull`.
+    In this case, since `Box` is Scala-defined, we will get `Box[T|UncheckedNull]|UncheckedNull`.
     This is needed because our nullability function is only applied (modularly) to the Java
     classes, but not to the Scala ones, so we need a way to tell `Box` that it contains a
     nullable value.
@@ -204,7 +204,7 @@ Specifically, we patch
     }
     ```
 
-  * We don't append `UncheckedNull` to a field and the return type of a method which is annotated with a
+  * We don't append `UncheckedNull` to a field nor to a return type of a method which is annotated with a
     `NotNull` annotation.
 
     ```java
@@ -288,7 +288,7 @@ val s2 = if (ret != null) {
 
 We added a simple form of flow-sensitive type inference. The idea is that if `p` is a
 stable path or a trackable variable, then we can know that `p` is non-null if it's compared
-with the `null`. This information can then be propagated to the `then` and `else` branches
+with `null`. This information can then be propagated to the `then` and `else` branches
 of an if-statement (among other places).
 
 Example:
@@ -376,7 +376,7 @@ We are able to detect the nullability of some local mutable variables. A simple
 class C(val x: Int, val next: C|Null)
 
 var xs: C|Null = C(1, C(2, null))
-// xs is trackable, since all assignments are in the same mathod
+// xs is trackable, since all assignments are in the same method
 while (xs != null) {
   // xs: C
   val xsx: Int = xs.x
@@ -401,7 +401,7 @@ When dealing with local mutable variables, there are two questions:
    x = null
  }
  if (x != null) {
-   // y can be called here, which break the fact
+   // y can be called here, which would break the fact
    val a: String = x // error: x is captured and mutated by the closure, not trackable
  }
  ```