Theorem freld 39425

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

Hypothesis

Ref	Expression
freld.1	|- ( ph -> F : A --> B )

Assertion

Ref	Expression
freld	|- ( ph -> Rel F )

Proof of Theorem freld

Step	Hyp	Ref	Expression
1		freld.1	. 2 |- ( ph -> F : A --> B )
2		frel 6050	. 2 |- ( F : A --> B -> Rel F )
3	1, 2	syl 17	1 |- ( ph -> Rel F )

Syntax hints:   -> wi 4   Rel wrel 5119   -->wf 5884

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386  df-fun 5890  df-fn 5891  df-f 5892

This theorem is referenced by:  limsupvaluz  39940  sssmf  40947