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