ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 33477

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**
Step	Hyp	Ref	Expression
1		cxmu 13187	. 2 class ·_e
2		cxrs 17611	. . 3 class ℝ^*_𝑠
3		cvsca 17371	. . 3 class ·_𝑠
4	2, 3	cfv 6535	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1570	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is used by: xrge0slmod 33820 sitmcl 34895

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