Metamath Proof Explorer


Theorem 0trrel

Description: The empty class is a transitive relation. (Contributed by RP, 24-Dec-2019)

Ref Expression
Assertion 0trrel ⊢ ∅ ∘ ∅ ⊆ ∅

Proof

Step Hyp Ref Expression
1 co01 ⊢ ∅ ∘ ∅ = ∅
2 1 eqimssi ⊢ ∅ ∘ ∅ ⊆ ∅