Theorem cgrrflxd

Description: Deduction form of cgrrflx . (Contributed by Scott Fenton, 13-Oct-2013)

	Ref	Expression
Hypotheses	cgrrflxd.1	|- ( ph -> N e. NN )
	cgrrflxd.2	|- ( ph -> A e. ( EE ` N ) )
	cgrrflxd.3	|- ( ph -> B e. ( EE ` N ) )
Assertion	cgrrflxd	|- ( ph -> <. A , B >. Cgr <. A , B >. )

Proof

Step	Hyp	Ref	Expression
1		cgrrflxd.1	|- ( ph -> N e. NN )
2		cgrrflxd.2	|- ( ph -> A e. ( EE ` N ) )
3		cgrrflxd.3	|- ( ph -> B e. ( EE ` N ) )
4		cgrrflx	|- ( ( N e. NN /\ A e. ( EE ` N ) /\ B e. ( EE ` N ) ) -> <. A , B >. Cgr <. A , B >. )
5	1 2 3 4	syl3anc	|- ( ph -> <. A , B >. Cgr <. A , B >. )