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Axiom ax-mulf 9184
Description: Multiplication is an operation on the complex numbers. This deprecated axiom is provided for historical compatibility but is not a bona fide axiom for complex numbers (independent of set theory) since it cannot be interpreted as a first- or second-order statement (see http://us.metamath.org/downloads/schmidt-cnaxioms.pdf). . It may be deleted in the future and should be avoided for new theorems. Instead, the less specific ax-mulcl 9166 should be used. Note that uses of ax-mulf 9184 can be eliminated by using the defined operation in place of , from which this axiom (with the defined operation in place of ) follows as a theorem.

This axiom is justified by theorem axmulf 9135. (New usage is discouraged.) (Contributed by NM, 19-Oct-2004.)

Assertion
Ref Expression
ax-mulf

Detailed syntax breakdown of Axiom ax-mulf
StepHypRef Expression
1 cc 9102 . . 3
21, 1cxp 4842 . 2
3 cmul 9109 . 2
42, 1, 3wf 5413 1
Colors of variables: wff set class
This axiom is referenced by:  mulnzcnopr  9798  mulex  10797  rlimmul  12908  mulcn  19401  iimulcn  19467  dvdsmulf1o  21488  fsumdvdsmul  21489  efghgrp  22470  cnrngo  22500  cncvc  22571  rmulccn  25028  xrge0pluscn  25040
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