Metamath Proof Explorer


Theorem 0iscard

Description: 0 is a cardinal number. (Contributed by RP, 1-Oct-2023)

Ref Expression
Assertion 0iscard
|- (/) e. ran card

Proof

Step Hyp Ref Expression
1 omssrncard
 |-  _om C_ ran card
2 peano1
 |-  (/) e. _om
3 1 2 sselii
 |-  (/) e. ran card