When you double-click on a control in the GUI editor, 2 things happen
1) It takes you to the code. If it doesn't exist yet, it will create the default (Click for buttons, CheckChanged for this, etc etc) event code.
2) It hooks up the event handler is the "background form partial class".
You erased the function "checkBox1_CheckedChanged", but VS wasn't smart enough to detect that and still tries to hook up the checkbox's event to a function that doesn't exists anymore. ?
Just erase the line hooking up the event.
In the Form1 code, right click on "InitializeComponent" and select "Go to Definition", it will take you to Form1.Designer.Cs, the other "partial class" for the form1, where the controls code is kept. Inside that function is where the event handler normally gets hooked up. In your screenshot, the line with the error. * Erase it, you don't actually care about that event.