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Mirrors > Home > ILE Home > Th. List > ax-rnegex | Unicode version |
Description: Existence of negative of real number. Axiom for real and complex numbers, justified by theorem axrnegex 7711. (Contributed by Eric Schmidt, 21-May-2007.) |
Ref | Expression |
---|---|
ax-rnegex |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
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2 | cr 7643 |
. . 3
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3 | 1, 2 | wcel 1481 |
. 2
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4 | vx |
. . . . . 6
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5 | 4 | cv 1331 |
. . . . 5
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6 | caddc 7647 |
. . . . 5
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7 | 1, 5, 6 | co 5782 |
. . . 4
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8 | cc0 7644 |
. . . 4
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9 | 7, 8 | wceq 1332 |
. . 3
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10 | 9, 4, 2 | wrex 2418 |
. 2
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11 | 3, 10 | wi 4 |
1
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Colors of variables: wff set class |
This axiom is referenced by: 0re 7790 readdcan 7926 cnegexlem1 7961 cnegexlem2 7962 cnegexlem3 7963 cnegex 7964 renegcl 8047 ltadd2 8205 |
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