Metamath Proof Explorer


Theorem 2lt3

Description: 2 is less than 3. (Contributed by NM, 26-Sep-2010)

Ref Expression
Assertion 2lt3
|- 2 < 3

Proof

Step Hyp Ref Expression
1 2re
 |-  2 e. RR
2 1 ltp1i
 |-  2 < ( 2 + 1 )
3 df-3
 |-  3 = ( 2 + 1 )
4 2 3 breqtrri
 |-  2 < 3