[Merged by Bors] - chore(category_theory/adjunction/*): making arguments implicit in adjuction.comp and two small lemmas about mates #15062
Conversation
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Julian-Kuelshammer
changed the title
Julian-Kuelshammer
added
awaiting-review
leanprover-community-bot-assistant
added
ready-to-merge
bors bot
pushed a commit
that referenced
this pull request
Jul 11, 2022
…uction.comp and two small lemmas about mates (#15062) Working on adjunctions between monads and comonads, I noticed that adjunction.comp was defined with having the functors of one of the adjunctions explicit as well as the adjunction. However in the library, only `adjunction.comp _ _` ever appears. Thus I found it natural to make these two arguments implicit, so that composition of adjunctions can now be written as `adj1.comp adj2` instead of `adj1.comp _ _ adj2`. Furthermore, I provide two lemmas about mates of natural transformations to and from the identity functor. The application I have in mind is to the unit/counit of a monad/comonad in case of an adjunction of monads and comonads, as studied already by Eilenberg and Moore. Co-authored-by: Julian-Kuelshammer <68201724+Julian-Kuelshammer@users.noreply.github.com>
|
Pull request successfully merged into master. Build succeeded: |
bors
bot
changed the title
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
Working on adjunctions between monads and comonads, I noticed that adjunction.comp was defined with having the functors of one of the adjunctions explicit as well as the adjunction. However in the library, only
adjunction.comp _ _ever appears. Thus I found it natural to make these two arguments implicit, so that composition of adjunctions can now be written asadj1.comp adj2instead ofadj1.comp _ _ adj2.Furthermore, I provide two lemmas about mates of natural transformations to and from the identity functor. The application I have in mind is to the unit/counit of a monad/comonad in case of an adjunction of monads and comonads, as studied already by Eilenberg and Moore.