{"action":"created","issue":{"url":"https://api.github.com/repos/HoTT/book/issues/850","labels_url":"https://api.github.com/repos/HoTT/book/issues/850/labels{/name}","comments_url":"https://api.github.com/repos/HoTT/book/issues/850/comments","events_url":"https://api.github.com/repos/HoTT/book/issues/850/events","html_url":"https://github.com/HoTT/book/issues/850","id":102610076,"number":850,"title":"Unclear abuse of notation in the definition of the free group as a set-quotient.","user":{"login":"11Kilobytes","id":1944582,"avatar_url":"https://avatars.githubusercontent.com/u/1944582?v=3","gravatar_id":"","url":"https://api.github.com/users/11Kilobytes","html_url":"https://github.com/11Kilobytes","followers_url":"https://api.github.com/users/11Kilobytes/followers","following_url":"https://api.github.com/users/11Kilobytes/following{/other_user}","gists_url":"https://api.github.com/users/11Kilobytes/gists{/gist_id}","starred_url":"https://api.github.com/users/11Kilobytes/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/11Kilobytes/subscriptions","organizations_url":"https://api.github.com/users/11Kilobytes/orgs","repos_url":"https://api.github.com/users/11Kilobytes/repos","events_url":"https://api.github.com/users/11Kilobytes/events{/privacy}","received_events_url":"https://api.github.com/users/11Kilobytes/received_events","type":"User","site_admin":false},"labels":[],"state":"open","locked":false,"assignee":null,"milestone":null,"comments":2,"created_at":"2015-08-23T11:19:40Z","updated_at":"2015-08-24T02:48:39Z","closed_at":null,"body":"The relevant paragraph occurs near line 1657 of hits.tex, at the time of posting this issue. We first say that i : F'(A) -> F'(A), and then we use the same symbol i to refer to a map between List(A + A) and itself. This isn't really wrong of course, since the endomap on List(A + A) descends to the quotient, and we use this to define an endomap on F'(A). This may confuse the reader."},"comment":{"url":"https://api.github.com/repos/HoTT/book/issues/comments/133999667","html_url":"https://github.com/HoTT/book/issues/850#issuecomment-133999667","issue_url":"https://api.github.com/repos/HoTT/book/issues/850","id":133999667,"user":{"login":"mikeshulman","id":646600,"avatar_url":"https://avatars.githubusercontent.com/u/646600?v=3","gravatar_id":"","url":"https://api.github.com/users/mikeshulman","html_url":"https://github.com/mikeshulman","followers_url":"https://api.github.com/users/mikeshulman/followers","following_url":"https://api.github.com/users/mikeshulman/following{/other_user}","gists_url":"https://api.github.com/users/mikeshulman/gists{/gist_id}","starred_url":"https://api.github.com/users/mikeshulman/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/mikeshulman/subscriptions","organizations_url":"https://api.github.com/users/mikeshulman/orgs","repos_url":"https://api.github.com/users/mikeshulman/repos","events_url":"https://api.github.com/users/mikeshulman/events{/privacy}","received_events_url":"https://api.github.com/users/mikeshulman/received_events","type":"User","site_admin":false},"created_at":"2015-08-24T02:48:39Z","updated_at":"2015-08-24T02:48:39Z","body":"It's theorem 6.11.7.  I think the intent is that `i` doesn't actually ever refer to a map on List(A+A), rather in the second display in that proof we have just neglected to notate the quotient map from List(A+A) to F'(A).  I guess we ought to notate it."}}