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Axiom ax-rrecex 9585
Description: Existence of reciprocal of nonzero real number. Axiom 16 of 22 for real and complex numbers, justified by theorem axrrecex 9561. (Contributed by Eric Schmidt, 11-Apr-2007.)
Assertion
Ref Expression
ax-rrecex
Distinct variable group:   ,

Detailed syntax breakdown of Axiom ax-rrecex
StepHypRef Expression
1 cA . . . 4
2 cr 9512 . . . 4
31, 2wcel 1818 . . 3
4 cc0 9513 . . . 4
51, 4wne 2652 . . 3
63, 5wa 369 . 2
7 vx . . . . . 6
87cv 1394 . . . . 5
9 cmul 9518 . . . . 5
101, 8, 9co 6296 . . . 4
11 c1 9514 . . . 4
1210, 11wceq 1395 . . 3
1312, 7, 2wrex 2808 . 2
146, 13wi 4 1
Colors of variables: wff setvar class
This axiom is referenced by:  1re  9616  00id  9776  mul02lem1  9777  addid1  9781  recex  10206  rereccl  10287  xrecex  27616
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