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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 ∩ oRing )

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cofld	⊢ oField
1		cfield	⊢ Field
2		corng	⊢ oRing
3	1 2	cin	⊢ ( Field ∩ oRing )
4	0 3	wceq	⊢ oField = ( Field ∩ oRing )