Metamath Proof Explorer


Theorem cfonOLD

Description: Obsolete version of cfon as of 10-Jun-2026. (Contributed by Mario Carneiro, 9-Mar-2013) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion cfonOLD ( cf ‘ 𝐴 ) ∈ On

Proof

Step Hyp Ref Expression
1 cardcf ( card ‘ ( cf ‘ 𝐴 ) ) = ( cf ‘ 𝐴 )
2 cardon ( card ‘ ( cf ‘ 𝐴 ) ) ∈ On
3 1 2 eqeltrri ( cf ‘ 𝐴 ) ∈ On