ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 29674

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 11945	. 2 class ·_e
2		cxrs 16160	. . 3 class ℝ^*_𝑠
3		cvsca 15945	. . 3 class ·_𝑠
4	2, 3	cfv 5888	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1483	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 29844 sitmcl 30413

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