ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 33430

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 13162	. 2 class ·_e
2		cxrs 17588	. . 3 class ℝ^*_𝑠
3		cvsca 17348	. . 3 class ·_𝑠
4	2, 3	cfv 6537	. 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 33773 sitmcl 34847

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