Metamath Proof Explorer


Theorem bdayfn

Description: The birthday function is a function over No . (Contributed by Scott Fenton, 30-Jun-2011)

Ref Expression
Assertion bdayfn bday Fn No

Proof

Step Hyp Ref Expression
1 bdayfo bday : No onto→ On
2 fofn ( bday : No onto→ On → bday Fn No )
3 1 2 ax-mp bday Fn No