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Mirrors > Home > ILE Home > Th. List > df-r | GIF version |
Description: Define the set of real numbers. (Contributed by NM, 22-Feb-1996.) |
Ref | Expression |
---|---|
df-r | ⊢ ℝ = (R × {0R}) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cr 7587 | . 2 class ℝ | |
2 | cnr 7073 | . . 3 class R | |
3 | c0r 7074 | . . . 4 class 0R | |
4 | 3 | csn 3497 | . . 3 class {0R} |
5 | 2, 4 | cxp 4507 | . 2 class (R × {0R}) |
6 | 1, 5 | wceq 1316 | 1 wff ℝ = (R × {0R}) |
Colors of variables: wff set class |
This definition is referenced by: opelreal 7603 elreal 7604 elreal2 7606 axresscn 7636 ax1rid 7653 |
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