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Axiom ax-addcl 9288
Description: Closure law for addition of complex numbers. Axiom 4 of 22 for real and complex numbers, justified by theorem axaddcl 9264. Proofs should normally use addcl 9310 instead, which asserts the same thing but follows our naming conventions for closures. (New usage is discouraged.) (Contributed by NM, 22-Nov-1994.)
Assertion
Ref Expression
ax-addcl

Detailed syntax breakdown of Axiom ax-addcl
StepHypRef Expression
1 cA . . . 4
2 cc 9226 . . . 4
31, 2wcel 1749 . . 3
4 cB . . . 4
54, 2wcel 1749 . . 3
63, 5wa 362 . 2
7 caddc 9231 . . . 4
81, 4, 7co 6061 . . 3
98, 2wcel 1749 . 2
106, 9wi 4 1
Colors of variables: wff setvar class
This axiom is referenced by:  addcl  9310
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