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Axiom ax-rnegex 6792
Description: Existence of negative of real number. Axiom for real and complex numbers, justified by theorem axrnegex 6763. (Contributed by Eric Schmidt, 21-May-2007.)
Assertion
Ref Expression
ax-rnegex  RR  RR  +  0
Distinct variable group:   ,

Detailed syntax breakdown of Axiom ax-rnegex
StepHypRef Expression
1 cA . . 3
2 cr 6710 . . 3  RR
31, 2wcel 1390 . 2  RR
4 vx . . . . . 6  setvar
54cv 1241 . . . . 5
6 caddc 6714 . . . . 5  +
71, 5, 6co 5455 . . . 4  +
8 cc0 6711 . . . 4  0
97, 8wceq 1242 . . 3  +  0
109, 4, 2wrex 2301 . 2  RR  +  0
113, 10wi 4 1  RR  RR  +  0
Colors of variables: wff set class
This axiom is referenced by:  0re  6825  readdcan  6950  cnegexlem1  6983  cnegexlem2  6984  cnegexlem3  6985  cnegex  6986  renegcl  7068  ltadd2  7212
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