- (.) : (b ->
c) ->
(a ->
b) ->
a ->
c
- Function composition - Fixity
- Left associative, precedence 9
 
- data Dec : Type ->
Type
- Decidability. A decidable property either holds or is a contradiction. - Yes : (prf : prop) ->
Dec prop
- The case where the property holds - prf
- the proof 
 
- No : (contra : prop ->
Void) ->
Dec prop
- The case where the property holding would be a contradiction - contra
- a demonstration that prop would be a contradiction 
 
 
- Not : Type ->
Type
- apply : (a ->
b) ->
a ->
b
- Function application. 
- cong : (a =
b) ->
f a =
f b
- Equality is a congruence. 
- const : a ->
b ->
a
- Constant function. Ignores its second argument. 
- flip : (f : a ->
b ->
c) ->
b ->
a ->
c
- Takes in the first two arguments in reverse order. - f
- the function to flip 
 
- fst : (a,
b) ->
a
- Return the first element of a pair. 
- id : a ->
a
- Identity function. 
- snd : (a,
b) ->
b
- Return the second element of a pair. 
- the : (a : Type) ->
(value : a) ->
a
- Manually assign a type to an expression. - a
- the type to assign 
- value
- the element to get the type