Theorem refldcj

Description: The conjugation operation of the field of real numbers. (Contributed by Thierry Arnoux, 30-Jun-2019)

	Ref	Expression
Assertion	refldcj	|- * = ( *r ` RRfld )

Proof

Step	Hyp	Ref	Expression
1		reex	|- RR e. _V
2		df-refld	|- RRfld = ( CCfld |`s RR )
3		cnfldcj	|- * = ( *r ` CCfld )
4	2 3	ressstarv	|- ( RR e. _V -> * = ( *r ` RRfld ) )
5	1 4	ax-mp	|- * = ( *r ` RRfld )