Description: 2 is less than 6. (Contributed by Mario Carneiro, 15-Sep-2013)
Ref | Expression | ||
---|---|---|---|
Assertion | 2lt6 | ⊢ 2 < 6 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2lt3 | ⊢ 2 < 3 | |
2 | 3lt6 | ⊢ 3 < 6 | |
3 | 2re | ⊢ 2 ∈ ℝ | |
4 | 3re | ⊢ 3 ∈ ℝ | |
5 | 6re | ⊢ 6 ∈ ℝ | |
6 | 3 4 5 | lttri | ⊢ ( ( 2 < 3 ∧ 3 < 6 ) → 2 < 6 ) |
7 | 1 2 6 | mp2an | ⊢ 2 < 6 |