Theorem wefr

Description: A well-ordering is well-founded. (Contributed by NM, 22-Apr-1994)

	Ref	Expression
Assertion	wefr	$$⊢R\mathrm{We}A\to R\mathrm{Fr}A$$

Proof

Step	Hyp	Ref	Expression
1		df-we	$$⊢R\mathrm{We}A\leftrightarrow \left(R\mathrm{Fr}A\wedge R\mathrm{Or}A\right)$$
2	1	simplbi	$$⊢R\mathrm{We}A\to R\mathrm{Fr}A$$