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| Mirrors > Home > ILE Home > Th. List > ax-0lt1 | Unicode version | ||
| Description: 0 is less than 1. Axiom for real and complex numbers, justified by Theorem ax0lt1 7943. Proofs should normally use 0lt1 8153 instead. (New usage is discouraged.) (Contributed by Jim Kingdon, 12-Jan-2020.) | 
| Ref | Expression | 
|---|---|
| ax-0lt1 | 
 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | cc0 7879 | 
. 2
 | |
| 2 | c1 7880 | 
. 2
 | |
| 3 | cltrr 7883 | 
. 2
 | |
| 4 | 1, 2, 3 | wbr 4033 | 
1
 | 
| Colors of variables: wff set class | 
| This axiom is referenced by: 0lt1 8153 | 
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