hbhb bbk
$$ imp\ a\ b:=a\rightarrow\ b $$
$$ tran \ U \ R:=\forall x \ y \ z:U,R\ x\ y\rightarrow R\ y \ z\rightarrow R\ x \ z $$
$$ tran\ imp $$
Require Import Utf8.
Set Implicit Arguments.
Definition imp a b:=a → b.
Definition tran U R:=
∀x y z:U,R x y → R y z → R x z.
Fact Biden:tran imp.
VOTE!