Metamath Proof Explorer


Theorem freld

Description: A mapping is a relation. (Contributed by Glauco Siliprandi, 26-Jun-2021)

Ref Expression
Hypothesis freld.1 ⊢ φ → F : A ⟶ B
Assertion freld ⊢ φ → Rel ⁡ F

Proof

Step Hyp Ref Expression
1 freld.1 ⊢ φ → F : A ⟶ B
2 frel ⊢ F : A ⟶ B → Rel ⁡ F
3 1 2 syl ⊢ φ → Rel ⁡ F