ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 33566

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 13240	. 2 class ·_e
2		cxrs 17672	. . 3 class ℝ^*_𝑠
3		cvsca 17432	. . 3 class ·_𝑠
4	2, 3	cfv 6538	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1569	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is used by: xrge0slmod 33909 sitmcl 34983

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