Theorem wfr1OLD

Description: Obsolete version of wfr1 as of 18-Nov-2024. (New usage is discouraged.) (Proof modification is discouraged.) (Contributed by Scott Fenton, 22-Apr-2011) (Revised by Mario Carneiro, 26-Jun-2015)

	Ref	Expression
Hypotheses	wfr1OLD.1	|- R We A
	wfr1OLD.2	|- R Se A
	wfr1OLD.3	|- F = wrecs ( R , A , G )
Assertion	wfr1OLD	|- F Fn A

Proof

Step	Hyp	Ref	Expression
1		wfr1OLD.1	|- R We A
2		wfr1OLD.2	|- R Se A
3		wfr1OLD.3	|- F = wrecs ( R , A , G )
4	1 2 3	wfrfunOLD	|- Fun F
5		eqid	|- ( F u. { <. z , ( G ` ( F |` Pred ( R , A , z ) ) ) >. } ) = ( F u. { <. z , ( G ` ( F |` Pred ( R , A , z ) ) ) >. } )
6	1 2 3 5	wfrlem16OLD	|- dom F = A
7		df-fn	|- ( F Fn A <-> ( Fun F /\ dom F = A ) )
8	4 6 7	mpbir2an	|- F Fn A