Theorem nvrel

Description: The class of all normed complex vectors spaces is a relation. (Contributed by NM, 14-Nov-2006) (New usage is discouraged.)

	Ref	Expression
Assertion	nvrel	⊢ Rel NrmCVec

Proof

Step	Hyp	Ref	Expression
1		nvss	⊢ NrmCVec ⊆ ( CVecOLD × V )
2		relxp	⊢ Rel ( CVecOLD × V )
3		relss	⊢ ( NrmCVec ⊆ ( CVecOLD × V ) → ( Rel ( CVecOLD × V ) → Rel NrmCVec ) )
4	1 2 3	mp2	⊢ Rel NrmCVec