Metamath Proof Explorer


Theorem relttrcl

Description: The transitive closure of a class is a relation. (Contributed by Scott Fenton, 17-Oct-2024)

Ref Expression
Assertion relttrcl Rel t++ R

Proof

Step Hyp Ref Expression
1 df-ttrcl t++ R = x y | n ω 1 𝑜 f f Fn suc n f = x f n = y m n f m R f suc m
2 1 relopabi Rel t++ R