Metamath Proof Explorer


Theorem bdaydmOLD

Description: Obsolete version of bdaydm as of 10-Jun-2026. (Contributed by Scott Fenton, 14-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion bdaydmOLD ⊢ dom ⁡ bday = No

Proof

Step Hyp Ref Expression
1 bdayfo ⊢ bday : No ⟶ onto On
2 fof ⊢ bday : No ⟶ onto On → bday : No ⟶ On
3 1 2 ax-mp ⊢ bday : No ⟶ On
4 3 fdmi ⊢ dom ⁡ bday = No