Metamath Proof Explorer


Theorem fimassd

Description: The image of a class is a subset of its codomain. (Contributed by Glauco Siliprandi, 23-Oct-2021)

Ref Expression
Hypothesis fimassd.1
|- ( ph -> F : A --> B )
Assertion fimassd
|- ( ph -> ( F " X ) C_ B )

Proof

Step Hyp Ref Expression
1 fimassd.1
 |-  ( ph -> F : A --> B )
2 fimass
 |-  ( F : A --> B -> ( F " X ) C_ B )
3 1 2 syl
 |-  ( ph -> ( F " X ) C_ B )