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Axiom ax-distr 9580
Description: Distributive law for complex numbers (left-distributivity). Axiom 11 of 22 for real and complex numbers, justified by theorem axdistr 9556. Proofs should normally use adddi 9602 instead. (New usage is discouraged.) (Contributed by NM, 22-Nov-1994.)
Assertion
Ref Expression
ax-distr

Detailed syntax breakdown of Axiom ax-distr
StepHypRef Expression
1 cA . . . 4
2 cc 9511 . . . 4
31, 2wcel 1818 . . 3
4 cB . . . 4
54, 2wcel 1818 . . 3
6 cC . . . 4
76, 2wcel 1818 . . 3
83, 5, 7w3a 973 . 2
9 caddc 9516 . . . . 5
104, 6, 9co 6296 . . . 4
11 cmul 9518 . . . 4
121, 10, 11co 6296 . . 3
131, 4, 11co 6296 . . . 4
141, 6, 11co 6296 . . . 4
1513, 14, 9co 6296 . . 3
1612, 15wceq 1395 . 2
178, 16wi 4 1
Colors of variables: wff setvar class
This axiom is referenced by:  adddi  9602
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