Metamath Proof Explorer


Theorem ex-gte

Description: Simple example of >_ , in this case, 0 is greater than or equal to 0. This is useful as an example, and helps us gain confidence that we've correctly defined the symbol. (Contributed by David A. Wheeler, 1-Jan-2017) (New usage is discouraged.)

Ref Expression
Assertion ex-gte
|- 0 >_ 0

Proof

Step Hyp Ref Expression
1 0le0
 |-  0 <_ 0
2 c0ex
 |-  0 e. _V
3 2 2 gte-lteh
 |-  ( 0 >_ 0 <-> 0 <_ 0 )
4 1 3 mpbir
 |-  0 >_ 0