Metamath Proof Explorer

Theorem renepnfd

Description: No (finite) real equals plus infinity. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Hypothesis rexrd.1 
|- ( ph -> A e. RR )
Assertion renepnfd 
|- ( ph -> A =/= +oo )

Proof

Step Hyp Ref Expression
1 rexrd.1 
 |-  ( ph -> A e. RR )
2 renepnf 
 |-  ( A e. RR -> A =/= +oo )
3 1 2 syl 
 |-  ( ph -> A =/= +oo )