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Axiom ax-mulf 9593
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 9575 should be used. Note that uses of ax-mulf 9593 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 9544. (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 9511 . . 3
21, 1cxp 5002 . 2
3 cmul 9518 . 2
42, 1, 3wf 5589 1
Colors of variables: wff setvar class
This axiom is referenced by:  mulnzcnopr  10220  mulex  11248  rlimmul  13467  mulcn  21371  iimulcn  21438  dvdsmulf1o  23470  fsumdvdsmul  23471  efghgrpOLD  25375  cnrngo  25405  cncvc  25476  rmulccn  27910  xrge0pluscn  27922
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