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Axiom ax-addass 9578
Description: Addition of complex numbers is associative. Axiom 9 of 22 for real and complex numbers, justified by theorem axaddass 9554. Proofs should normally use addass 9600 instead. (New usage is discouraged.) (Contributed by NM, 22-Nov-1994.)
Assertion
Ref Expression
ax-addass

Detailed syntax breakdown of Axiom ax-addass
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
101, 4, 9co 6296 . . . 4
1110, 6, 9co 6296 . . 3
124, 6, 9co 6296 . . . 4
131, 12, 9co 6296 . . 3
1411, 13wceq 1395 . 2
158, 14wi 4 1
Colors of variables: wff setvar class
This axiom is referenced by:  addass  9600
  Copyright terms: Public domain W3C validator