Metamath Proof Explorer


Theorem frnd

Description: Deduction form of frn . The range of a mapping. (Contributed by Glauco Siliprandi, 26-Jun-2021)

Ref Expression
Hypothesis frnd.1 φ F : A B
Assertion frnd φ ran F B

Proof

Step Hyp Ref Expression
1 frnd.1 φ F : A B
2 frn F : A B ran F B
3 1 2 syl φ ran F B