Definition of "rivalship"

rivalship¹

noun
countable and uncountable, plural rivalships
1. (now rare) Rivalry.
  Quotations
  Where the competition is free, the rivalship of competitors, who are all endeavouring to justle one another out of employment, obliges every man to endeavour to execute his work with a certain degree of exactness.
  1776, Adam Smith, Wealth of Nations‎, page 759
  Such was the amiable Frenchman for whom I felt that perfect friendship, that soldier-like fraternity, which we are only capable of in our youth, before we are alive to feelings of rivalship, before irrevocable courses, furrow and divide the field of futurity.
  1807, [Germaine] de Staël Holstein, translated by D[ennis] Lawler, “[Book XII. The history of Lord Nelville.] Chap[ter] I.”, in Corinna; or, Italy. […], volume III, London: […] Corri, […]; and sold by Colburn, […], and Mackenzie, […], page 145

rivalship²

noun
plural rivalships
1. (fandom slang) A ship involving characters with an adversarial relationship.
  Quotations
  it took me longer to ship drarry bc when i first read HP i was young and pure and didnt care about ships but now im rivalship trash so
  2015 October 16, kat (@saItkath), Twitter‎
  where are my femslash rivalships/hateships i want girls who wanna DUEL before they smooch
  2017 December 20, in the netherdeep (@NatRoze), Twitter‎
  I dont like kylo ren bc hes a bitch. Also r*ylo sucks because fuck rivalships she deserves better. Dont @ me
  2019 March 6, may (@myosotiskills), Twitter‎