Metamath Proof Explorer


Theorem 8olt9o

Description: Ordinal 8 is less than ordinal 9. (Contributed by BTernaryTau, 17-Oct-2026)

Ref Expression
Assertion 8olt9o Could not format assertion : No typesetting found for |- 8o e. 9o with typecode |-

Proof

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