Theorem socnv

Description: The converse of a strict ordering is still a strict ordering. (Contributed by Scott Fenton, 13-Jun-2018)

	Ref	Expression
Assertion	socnv	$$⊢R\mathrm{Or}A\to R^{-1}\mathrm{Or}A$$

Proof

Step	Hyp	Ref	Expression
1		cnvso	$$⊢R\mathrm{Or}A\leftrightarrow R^{-1}\mathrm{Or}A$$
2	1	biimpi	$$⊢R\mathrm{Or}A\to R^{-1}\mathrm{Or}A$$