Metamath Proof Explorer


Theorem 7onn

Description: The ordinal 7 is a natural number. (Contributed by BTernaryTau, 4-Sep-2026)

Ref Expression
Assertion 7onn Could not format assertion : No typesetting found for |- 7o e. _om with typecode |-

Proof

Step Hyp Ref Expression
1 df-7o Could not format 7o = suc 6o : No typesetting found for |- 7o = suc 6o with typecode |-
2 6onn Could not format 6o e. _om : No typesetting found for |- 6o e. _om with typecode |-
3 peano2 Could not format ( 6o e. _om -> suc 6o e. _om ) : No typesetting found for |- ( 6o e. _om -> suc 6o e. _om ) with typecode |-
4 2 3 ax-mp Could not format suc 6o e. _om : No typesetting found for |- suc 6o e. _om with typecode |-
5 1 4 eqeltri Could not format 7o e. _om : No typesetting found for |- 7o e. _om with typecode |-