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Mirrors > Home > ILE Home > Th. List > ax-0lt1 | GIF version |
Description: 0 is less than 1. Axiom for real and complex numbers, justified by Theorem ax0lt1 7831. Proofs should normally use 0lt1 8039 instead. (New usage is discouraged.) (Contributed by Jim Kingdon, 12-Jan-2020.) |
Ref | Expression |
---|---|
ax-0lt1 | ⊢ 0 <ℝ 1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cc0 7767 | . 2 class 0 | |
2 | c1 7768 | . 2 class 1 | |
3 | cltrr 7771 | . 2 class <ℝ | |
4 | 1, 2, 3 | wbr 3987 | 1 wff 0 <ℝ 1 |
Colors of variables: wff set class |
This axiom is referenced by: 0lt1 8039 |
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