Metamath Proof Explorer


Theorem 6pos

Description: The number 6 is positive. (Contributed by NM, 27-May-1999)

Ref Expression
Assertion 6pos 0 < 6

Proof

Step Hyp Ref Expression
1 5re 5
2 1re 1
3 5pos 0 < 5
4 0lt1 0 < 1
5 1 2 3 4 addgt0ii 0 < 5 + 1
6 df-6 6 = 5 + 1
7 5 6 breqtrri 0 < 6