Metamath Proof Explorer


Theorem 9onn

Description: The ordinal 9 is a natural number. (Contributed by BTernaryTau, 4-Sep-2026)

Ref Expression
Assertion 9onn Could not format assertion : No typesetting found for |- 9o e. _om with typecode |-

Proof

Step Hyp Ref Expression
1 df-9o Could not format 9o = suc 8o : No typesetting found for |- 9o = suc 8o with typecode |-
2 8onn Could not format 8o e. _om : No typesetting found for |- 8o e. _om with typecode |-
3 peano2 Could not format ( 8o e. _om -> suc 8o e. _om ) : No typesetting found for |- ( 8o e. _om -> suc 8o e. _om ) with typecode |-
4 2 3 ax-mp Could not format suc 8o e. _om : No typesetting found for |- suc 8o e. _om with typecode |-
5 1 4 eqeltri Could not format 9o e. _om : No typesetting found for |- 9o e. _om with typecode |-