Metamath Proof Explorer

Theorem ltp1d

Description: A number is less than itself plus 1. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Hypothesis ltp1d.1 
|- ( ph -> A e. RR )
Assertion ltp1d 
|- ( ph -> A < ( A + 1 ) )

Proof

Step Hyp Ref Expression
1 ltp1d.1 
 |-  ( ph -> A e. RR )
2 ltp1 
 |-  ( A e. RR -> A < ( A + 1 ) )
3 1 2 syl 
 |-  ( ph -> A < ( A + 1 ) )