lean2/tests/lean/run/e10.lean
2014-10-09 07:13:06 -07:00

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808 B
Text

precedence `+`:65
namespace nat
constant nat : Type.{1}
constant add : nat → nat → nat
infixl + := add
end nat
namespace int
open nat (nat)
constant int : Type.{1}
constant add : int → int → int
infixl + := add
constant of_nat : nat → int
coercion of_nat
end int
section
open nat
open int
variables n m : nat
variables i j : int
-- 'Most recent' are always tried first
print raw i + n
-- So, in the following one int.add is tried first, and we
-- get int.add (int.of_nat n) (int.of_nat m)
check n + m
print ">>> Forcing nat notation"
-- Force natural numbers
check #nat n + m
-- Moving 'nat' to the 'front'
print ">>> Moving nat notation to the 'front'"
open nat
print raw i + n
check n + m
end
constants a b : nat.nat
check #nat a + b