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Mirrors > Home > ILE Home > Th. List > ax-pre-ltadd | Unicode version |
Description: Ordering property of addition on reals. Axiom for real and complex numbers, justified by Theorem axpre-ltadd 7808. (Contributed by NM, 13-Oct-2005.) |
Ref | Expression |
---|---|
ax-pre-ltadd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . . 4 | |
2 | cr 7733 | . . . 4 | |
3 | 1, 2 | wcel 2128 | . . 3 |
4 | cB | . . . 4 | |
5 | 4, 2 | wcel 2128 | . . 3 |
6 | cC | . . . 4 | |
7 | 6, 2 | wcel 2128 | . . 3 |
8 | 3, 5, 7 | w3a 963 | . 2 |
9 | cltrr 7738 | . . . 4 | |
10 | 1, 4, 9 | wbr 3967 | . . 3 |
11 | caddc 7737 | . . . . 5 | |
12 | 6, 1, 11 | co 5826 | . . . 4 |
13 | 6, 4, 11 | co 5826 | . . . 4 |
14 | 12, 13, 9 | wbr 3967 | . . 3 |
15 | 10, 14 | wi 4 | . 2 |
16 | 8, 15 | wi 4 | 1 |
Colors of variables: wff set class |
This axiom is referenced by: axltadd 7949 |
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