Metamath Proof Explorer

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	\|- oField = ( Field i^i oRing )

Detailed syntax breakdown


 |-  oField
 |-  Field
 |-  oRing
 |-  ( Field i^i oRing )
 |-  oField = ( Field i^i oRing )

Step	Hyp	Ref	Expression
0		cofld	\|- oField
1		cfield	\|- Field
2		corng	\|- oRing
3	1 2	cin	\|- ( Field i^i oRing )
4	0 3	wceq	\|- oField = ( Field i^i oRing )