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Axiom ax-mulf 9075
 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 9057 should be used. Note that uses of ax-mulf 9075 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 9026. (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 8993 . . 3
21, 1cxp 4879 . 2
3 cmul 9000 . 2
42, 1, 3wf 5453 1
 Colors of variables: wff set class This axiom is referenced by:  mulnzcnopr  9673  mulex  10616  rlimmul  12443  mulcn  18902  iimulcn  18968  dvdsmulf1o  20984  fsumdvdsmul  20985  efghgrp  21966  cnrngo  21996  cncvc  22067  rmulccn  24319  xrge0pluscn  24331
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