Metamath Proof Explorer


Theorem renemnfd

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

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

Proof

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