Metamath Proof Explorer


Theorem 2posOLD

Description: Obsolete version of 2pos as of 10-Jun-2026. (Contributed by NM, 27-May-1999) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion 2posOLD
|- 0 < 2

Proof

Step Hyp Ref Expression
1 1re
 |-  1 e. RR
2 0lt1
 |-  0 < 1
3 1 1 2 2 addgt0ii
 |-  0 < ( 1 + 1 )
4 df-2
 |-  2 = ( 1 + 1 )
5 3 4 breqtrri
 |-  0 < 2