Metamath Proof Explorer

Theorem nmcl

Description: The norm of a normed group is closed in the reals. (Contributed by Mario Carneiro, 4-Oct-2015)

Ref Expression
Hypotheses nmf.x X = Base G
nmf.n N = norm G
Assertion nmcl G NrmGrp A X N A


Step Hyp Ref Expression
1 nmf.x X = Base G
2 nmf.n N = norm G
3 1 2 nmf G NrmGrp N : X
4 3 ffvelrnda G NrmGrp A X N A