Library
▹
Essentials
▹
Relations
Definition 1.4.13.
Let
S
be a set,
≺
be a
relation
on
S
. We define:
≺
is transitive
:
⇔
∀
s
,
t
,
u
∈
S
s.t.
s
≺
t
and
t
≺
u
:
s
≺
u
References.
https://en.wikipedia.org/wiki/Transitive_relation
https://mathworld.wolfram.com/Transitive.html
https://proofwiki.org/wiki/Definition:Transitive_Relation
https://ncatlab.org/nlab/show/transitive+relation
https://coq.inria.fr/library/Coq.Sets.Relations_1.html#Transitive
https://leanprover-community.github.io/mathlib_docs/init/logic.html#transitive