Metamath Proof Explorer

Theorem leidd

Description: 'Less than or equal to' is reflexive. (Contributed by Mario Carneiro, 27-May-2016)

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

Proof

Step Hyp Ref Expression
1 leidd.1 
 |-  ( ph -> A e. RR )
2 leid 
 |-  ( A e. RR -> A <_ A )
3 1 2 syl 
 |-  ( ph -> A <_ A )