Metamath Proof Explorer

Theorem leex

Description: The less-than-or-equal-to relation is a set. (Contributed by SN, 5-Jun-2025)

Ref Expression
Assertion leex 
|- <_ e. _V

Proof

Step Hyp Ref Expression
1 xrex 
 |-  RR* e. _V
2 1 1 xpex 
 |-  ( RR* X. RR* ) e. _V
3 lerelxr 
 |-  <_ C_ ( RR* X. RR* )
4 2 3 ssexi 
 |-  <_ e. _V