Metamath Proof Explorer


Theorem cnxmet

Description: The absolute value metric is an extended metric. (Contributed by Mario Carneiro, 28-Aug-2015)

Ref Expression
Assertion cnxmet abs∞Met

Proof

Step Hyp Ref Expression
1 cnmet absMet
2 metxmet absMetabs∞Met
3 1 2 ax-mp abs∞Met