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Axiom ax-rnegex 9584
Description: Existence of negative of real number. Axiom 15 of 22 for real and complex numbers, justified by theorem axrnegex 9560. (Contributed by Eric Schmidt, 21-May-2007.)
Assertion
Ref Expression
ax-rnegex
Distinct variable group:   ,

Detailed syntax breakdown of Axiom ax-rnegex
StepHypRef Expression
1 cA . . 3
2 cr 9512 . . 3
31, 2wcel 1818 . 2
4 vx . . . . . 6
54cv 1394 . . . . 5
6 caddc 9516 . . . . 5
71, 5, 6co 6296 . . . 4
8 cc0 9513 . . . 4
97, 8wceq 1395 . . 3
109, 4, 2wrex 2808 . 2
113, 10wi 4 1
Colors of variables: wff setvar class
This axiom is referenced by:  0re  9617  00id  9776  addid1  9781  cnegex  9782  renegcli  9903
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