2014-06-26 16:31:27 +00:00
|
|
|
precedence `+`:65
|
|
|
|
|
|
|
|
namespace nat
|
|
|
|
variable nat : Type.{1}
|
|
|
|
variable add : nat → nat → nat
|
|
|
|
infixl + := add
|
2014-08-07 23:59:08 +00:00
|
|
|
end nat
|
2014-06-26 16:31:27 +00:00
|
|
|
|
|
|
|
namespace int
|
|
|
|
using nat (nat)
|
|
|
|
variable int : Type.{1}
|
|
|
|
variable add : int → int → int
|
|
|
|
infixl + := add
|
|
|
|
variable of_nat : nat → int
|
2014-08-07 23:59:08 +00:00
|
|
|
end int
|
2014-06-26 16:31:27 +00:00
|
|
|
|
|
|
|
namespace int_coercions
|
|
|
|
coercion int.of_nat
|
2014-08-07 23:59:08 +00:00
|
|
|
end int_coercions
|
2014-06-26 16:31:27 +00:00
|
|
|
|
|
|
|
-- Using "only" the notation and declarations from the namespaces nat and int
|
|
|
|
using nat
|
|
|
|
using int
|
|
|
|
|
|
|
|
variables n m : nat
|
|
|
|
variables i j : int
|
|
|
|
check n + m
|
|
|
|
check i + j
|
|
|
|
|
|
|
|
section
|
|
|
|
-- Temporarily use the int_coercions
|
|
|
|
using int_coercions
|
|
|
|
check n + i
|
|
|
|
end
|
|
|
|
|
|
|
|
-- The following one is an error
|
|
|
|
-- check n + i
|
|
|
|
|