Metamath Proof Explorer


Theorem epsoon

Description: The ordinals are strictly and completely (linearly) ordered. Theorem 1.9 of Schloeder p. 1. Based on epweon and weso . (Contributed by RP, 15-Jan-2025)

Ref Expression
Assertion epsoon
|- _E Or On

Proof

Step Hyp Ref Expression
1 epweon
 |-  _E We On
2 weso
 |-  ( _E We On -> _E Or On )
3 1 2 ax-mp
 |-  _E Or On