When you have to google search the definition of the word lynch to prove a point, you've already lost the argument. But if you want to base your argument on a 5 second internet search, here's a wikipedia entry on lynching in the United States: https://en.wikipedia.org/wiki/Lynching_in_the_United_States.
First two sentences of the background: "After the Reconstruction era, most of the South was politically dominated by white men (and later white women). Lynchings were used to enforce white supremacy and intimidate blacks by racial terrorism."
Let's look at social characteristics: "A major motive for lynchings, particularly in the South, was the white society's efforts to maintain white supremacy after emancipation of slaves following the American Civil War."
I understand that people don't like the term white privilege. But when your understanding of the term lynching comes from fucking western movies without any understanding the its terroristic uses by whites against blacks during the Reconstruction and Jim Crow Eras (and beyond), that's fucking white privilege.