Metamath Proof Explorer


Theorem bdaydm

Description: The birthday function's domain is No . (Contributed by Scott Fenton, 14-Jun-2011) (Proof shortened by Umit Teoman Dogan, 10-Jun-2026)

Ref Expression
Assertion bdaydm ⊢ dom ⁡ bday = No

Proof

Step Hyp Ref Expression
1 bdayfn ⊢ bday Fn No
2 1 fndmi ⊢ dom ⁡ bday = No