24 lines
576 B
Text
24 lines
576 B
Text
|
variable N : Type.{1}
|
||
|
|
definition B : Type.{1} := Type.{0}
|
||
|
|
variable ite : B → N → N → N
|
||
|
|
variable and : B → B → B
|
||
|
|
variable f : N → N
|
||
|
|
variable p : B
|
||
|
|
variable q : B
|
||
|
|
variable x : N
|
||
|
|
variable y : N
|
||
|
|
variable z : N
|
||
|
|
infixr `∧` 25 := and
|
||
|
|
notation `if` c `then` t `else` e := ite c t e
|
||
|
|
check if p ∧ q then f x else y
|
||
|
|
check if p ∧ q then q else y
|
||
|
|
variable list : Type.{1}
|
||
|
|
variable nil : list
|
||
|
|
variable cons : N → list → list
|
||
|
|
-- Non empty lists
|
||
|
|
notation `[` l:(foldr `,` (h t, cons h t) nil) `]` := l
|
||
|
|
check [x, y, z, x, y, y]
|
||
|
|
check [x]
|
||
|
|
notation `[` `]` := nil
|
||
|
|
check []
|