constant R : nat → nat → Prop
constant H : transitive R
set_option pp.all true

constant F : ∀ {A : Type*} ⦃a : A⦄ {b : A} (c : A) ⦃e : A⦄, A → A → A

#check H
#check F
#check F tt
#check F tt tt
#check F tt tt tt

#check H
#check F
#check F tt
#check F tt tt
#check F tt tt tt