fredefox/cat
1
0
Fork 0
Code Issues Pull requests Releases Wiki Activity

Add note about haskell

Browse source
This commit is contained in:
Frederik Hanghøj Iversen 2018-02-24 15:25:07 +01:00
parent e4e327d1d2
commit 5d9c820fa2
1 changed files with 12 additions and 1 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

13
src/Cat/Category/Monad.agda
View file

@ -88,7 +88,18 @@ module Kleisli {ℓa ℓb : Level} (ℂ : Category ℓa ℓb) where
-- Note name-change from [voe] -- Note name-change from [voe]
ζ : {X : Object} → ℂ [ X , RR X ] ζ : {X : Object} → ℂ [ X , RR X ]
rr : {X Y : Object} → ℂ [ X , RR Y ] → ℂ [ RR X , RR Y ] rr : {X Y : Object} → ℂ [ X , RR Y ] → ℂ [ RR X , RR Y ]
-- Name suggestions are welcome! -- Note the correspondance with Haskell:
--
-- RR ~ m
-- ζ ~ pure
-- rr ~ flip (>>=)
--
-- Where those things have these types:
--
-- m : 𝓤 → 𝓤
-- pure : x → m x
-- flip (>>=) :: (a → m b) → m a → m b
--
IsIdentity = {X : Object} IsIdentity = {X : Object}
→ rr ζ ≡ 𝟙 {RR X} → rr ζ ≡ 𝟙 {RR X}
IsNatural = {X Y : Object} (f : ℂ [ X , RR Y ]) IsNatural = {X Y : Object} (f : ℂ [ X , RR Y ])