lean2/tests/lean/run/nat_coe.lean

28 lines
447 B
Text
Raw Normal View History

import logic
namespace experiment
constant nat : Type.{1}
constant int : Type.{1}
constant nat_add : nat → nat → nat
infixl `+` := nat_add
constant int_add : int → int → int
infixl `+` := int_add
constant of_nat : nat → int
attribute of_nat [coercion]
constants a b : nat
constants i j : int
definition c1 := a + b
theorem T1 : c1 = nat_add a b :=
eq.refl _
definition c2 := i + j
theorem T2 : c2 = int_add i j :=
eq.refl _
exit