Metamath Proof Explorer

Theorem 0ltpnf

Description: Zero is less than plus infinity. (Contributed by David A. Wheeler, 8-Dec-2018)

Ref Expression
Assertion 0ltpnf 
|- 0 < +oo

Proof

Step Hyp Ref Expression
1 0re 
 |-  0 e. RR
2 ltpnf 
 |-  ( 0 e. RR -> 0 < +oo )
3 1 2 ax-mp 
 |-  0 < +oo