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Axiom ax-mulrcl 9104
Description: Closure law for multiplication in the real subfield of complex numbers. Axiom 7 of 22 for real and complex numbers, justified by theorem axmulrcl 9080. Proofs should normally use remulcl 9126 instead. (New usage is discouraged.) (Contributed by NM, 22-Nov-1994.)
Assertion
Ref Expression
ax-mulrcl

Detailed syntax breakdown of Axiom ax-mulrcl
StepHypRef Expression
1 cA . . . 4
2 cr 9040 . . . 4
31, 2wcel 1728 . . 3
4 cB . . . 4
54, 2wcel 1728 . . 3
63, 5wa 360 . 2
7 cmul 9046 . . . 4
81, 4, 7co 6129 . . 3
98, 2wcel 1728 . 2
106, 9wi 4 1
Colors of variables: wff set class
This axiom is referenced by:  remulcl  9126
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