lean2/tests/lean/run/nat_coe.lean

27 lines
414 B
Text
Raw Normal View History

import logic
variable nat : Type.{1}
variable int : Type.{1}
variable nat_add : nat → nat → nat
infixl `+`:65 := nat_add
variable int_add : int → int → int
infixl `+`:65 := int_add
variable of_nat : nat → int
coercion of_nat
variables a b : nat
variables i j : int
abbreviation c1 := a + b
theorem T1 : c1 = nat_add a b :=
refl _
abbreviation c2 := i + j
theorem T2 : c2 = int_add i j :=
refl _