Metamath Proof Explorer


Theorem 5on

Description: Ordinal 5 is an ordinal number. (Contributed by BTernaryTau, 4-Sep-2026)

Ref Expression
Assertion 5on Could not format assertion : No typesetting found for |- 5o e. On with typecode |-

Proof

Step Hyp Ref Expression
1 df-5o Could not format 5o = suc 4o : No typesetting found for |- 5o = suc 4o with typecode |-
2 4on 4 𝑜 On
3 2 onsuci suc 4 𝑜 On
4 1 3 eqeltri Could not format 5o e. On : No typesetting found for |- 5o e. On with typecode |-