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Axiom ax-xrsvsca 30220
Description: Assume the scalar product of the extended real structure is the extended real number multiplication operation (this has to be defined in the main body of set.mm). (Contributed by Thierry Arnoux, 22-Oct-2017.)
Assertion
Ref Expression
ax-xrsvsca ·e = ( ·𝑠 ‘ℝ*𝑠)

Detailed syntax breakdown of Axiom ax-xrsvsca
StepHypRef Expression
1 cxmu 12232 . 2 class ·e
2 cxrs 16514 . . 3 class *𝑠
3 cvsca 16310 . . 3 class ·𝑠
42, 3cfv 6124 . 2 class ( ·𝑠 ‘ℝ*𝑠)
51, 4wceq 1658 1 wff ·e = ( ·𝑠 ‘ℝ*𝑠)
Colors of variables: wff setvar class
This axiom is referenced by:  xrge0slmod  30390  sitmcl  30959
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