docs: add NOT operator examples to km examples

Show how to exclude terms with NOT and standalone NOT queries.

Author: dluc

src/Main/CLI/Commands/ExamplesCommand.cs

@@ -139,6 +139,13 @@ private void ShowSearchExamples()
         AnsiConsole.MarkupLine("[dim]Find documents with either python or javascript[/]");
         AnsiConsole.WriteLine();
 
+        AnsiConsole.MarkupLine("[bold]Exclude terms with NOT[/]");
+        AnsiConsole.MarkupLine("[cyan]km search \"docker AND NOT kubernetes\"[/]");
+        AnsiConsole.MarkupLine("[dim]Find docker docs that don't mention kubernetes[/]");
+        AnsiConsole.MarkupLine("[cyan]km search \"NOT deprecated\"[/]");
+        AnsiConsole.MarkupLine("[dim]Find all docs that don't contain \"deprecated\"[/]");
+        AnsiConsole.WriteLine();
+
         AnsiConsole.MarkupLine("[bold]Search for literal reserved words[/]");
         AnsiConsole.MarkupLine("[cyan]km search '\"NOT\"'[/]");
         AnsiConsole.MarkupLine("[dim]Use quotes to search for literal AND, OR, NOT as words[/]");
@@ -162,6 +169,13 @@ private void ShowSearchExamples()
         AnsiConsole.MarkupLine("[dim]Full-text search across all fields[/]");
         AnsiConsole.WriteLine();
 
+        AnsiConsole.MarkupLine("[bold]JSON format - exclude with $not and $nor[/]");
+        AnsiConsole.MarkupLine($"[cyan]{Markup.Escape("km search '{\"content\": {\"$not\": \"deprecated\"}}'")}[/]");
+        AnsiConsole.MarkupLine("[dim]Find docs where content doesn't contain \"deprecated\"[/]");
+        AnsiConsole.MarkupLine($"[cyan]{Markup.Escape("km search '{\"$nor\": [{\"content\": \"alpha\"}, {\"content\": \"beta\"}]}'")}[/]");
+        AnsiConsole.MarkupLine("[dim]Exclude docs containing \"alpha\" or \"beta\"[/]");
+        AnsiConsole.WriteLine();
+
         AnsiConsole.MarkupLine("[bold]JSON format - escaping special characters[/]");
         AnsiConsole.MarkupLine($"[cyan]{Markup.Escape("km search '{\"content\": \"quotes: \\\"hello\\\"\"}'")}[/]");
         AnsiConsole.MarkupLine("[dim]Escape quotes in JSON with backslash[/]");