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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 ∈ ℝ
2 1 ltp1i ⊢ 2 < ( 2 + 1 )
3 df-3 ⊢ 3 = ( 2 + 1 )
4 2 3 breqtrri ⊢ 2 < 3