Recently started working in C# and I am making full use of the shorthand properties (Getters-Setters) and have a question about how to constrain the setter

I have a height property as follows

public int height {get; set;} = 200 

The width property however has a minimum of 10px and is thus written in the original form

private int width = 100
public int Width 
{
  get
  {
    return this.width;
  }
  set
  {
    this.width = value > 10 ? value : 10;
  }
}

My question is... Is there any way to keep the shorthand styled property yet manipulate it to have my ternary operator? Nearly all the other properties have the shorthand syntax and I like being consistent. (I know this is wrong but is something along the lines of this possible?)

public int width {get; set => value > 10 ? value : 10;} = 100