UniAgda.Core.Types.Functions

Table of Contents

1 Prelude

2 Functions

Agda introduces most of the required function types already. This means we don't need to define \(\Pi\) types or \(\to\) types, just their basic operations.

_o_ :  {i₁ i₂ i₃} {A : Type i₁} {B : Type i₂} {C : Type i₃}
      (g : B  C) (f : A  B)
       A  C
(g o f) a = g (f a)
infixr 9 _o_
id :  {i} {A : Type i}
      A  A
id a = a

We introduce Haskell notation for function application.

_$_ :  {i j} {A : Type i} {B : Type j}
      (A  B)  A  B
f $ a = f a
infixr 0 _$_

Author: James Leslie

Created: 2021-03-27 Sat 10:47