Theorem 1lt2

Description: 1 is less than 2. (Contributed by NM, 24-Feb-2005)

	Ref	Expression
Assertion	1lt2	⊢ 1 < 2

Proof

Step	Hyp	Ref	Expression
1		1re	⊢ 1 ∈ ℝ
2	1	ltp1i	⊢ 1 < ( 1 + 1 )
3		df-2	⊢ 2 = ( 1 + 1 )
4	2 3	breqtrri	⊢ 1 < 2