Definition df-ofld

Description: Define class of all ordered fields. An ordered field is a field with a total ordering compatible with its operations. (Contributed by Thierry Arnoux, 18-Jan-2018)

	Ref	Expression
Assertion	df-ofld	$$⊢\mathrm{oField}=\mathrm{Field}\cap \mathrm{oRing}$$

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cofld	$$class\mathrm{oField}$$
1		cfield	$$class\mathrm{Field}$$
2		corng	$$class\mathrm{oRing}$$
3	1 2	cin	$$class\left(\mathrm{Field}\cap \mathrm{oRing}\right)$$
4	0 3	wceq	$$wff\mathrm{oField}=\mathrm{Field}\cap \mathrm{oRing}$$