What does 'diminish the other' mean clinically?

Full Ad-free Lacan series: https://www.patreon.com/plasticpills

We conclude our Lacan series with what Fink says is the desired end of Lacanian psychoanalysis. And, the ends of psychoanalysis coincide with some valuable insights for Lacan's theorizing beyond psychoanalysis. 
Works cited are Fink's Lacanian Subject (ch. 5; https://amzn.to/4qz1Fgx) and A Clinical Introduction to Lacanian Psychoanalysis (ch. 10; https://amzn.to/4hAIKh5).