23 lines
387 B
Text
23 lines
387 B
Text
|
import data.nat logic.classes.inhabited
|
||
|
open nat inhabited
|
||
|
|
||
|
variable N : Type.{1}
|
||
|
variable a : N
|
||
|
|
||
|
section s1
|
||
|
set_option pp.implicit true
|
||
|
|
||
|
definition f (a b : nat) := a
|
||
|
|
||
|
theorem nat_inhabited [instance] : inhabited nat :=
|
||
|
inhabited.mk zero
|
||
|
|
||
|
definition to_N [coercion] (n : nat) : N := a
|
||
|
|
||
|
infixl `$$`:65 := f
|
||
|
end s1
|
||
|
|
||
|
theorem tst : inhabited nat
|
||
|
variables n m : nat
|
||
|
check n = a
|