Theorem bj-rrdrg

Description: The field of real numbers is a division ring. (Contributed by BJ, 6-Jan-2024)

	Ref	Expression
Assertion	bj-rrdrg	$$⊢{ℝ}_{\mathrm{fld}}\in \mathrm{DivRing}$$

Proof

Step	Hyp	Ref	Expression
1		bj-flddrng	$$⊢\mathrm{Field}\subseteq \mathrm{DivRing}$$
2		refld	$$⊢{ℝ}_{\mathrm{fld}}\in \mathrm{Field}$$
3	1 2	sselii	$$⊢{ℝ}_{\mathrm{fld}}\in \mathrm{DivRing}$$