Theorem gtso

Description: 'Greater than' is a strict ordering. (Contributed by JJ, 11-Oct-2018)

	Ref	Expression
Assertion	gtso	$$⊢{<}^{-1}\mathrm{Or}ℝ$$

Proof

Step	Hyp	Ref	Expression
1		ltso	$$⊢<\mathrm{Or}ℝ$$
2		cnvso	$$⊢<\mathrm{Or}ℝ\leftrightarrow {<}^{-1}\mathrm{Or}ℝ$$
3	1 2	mpbi	$$⊢{<}^{-1}\mathrm{Or}ℝ$$