ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 31262

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 12829	. 2 class ·_e
2		cxrs 17192	. . 3 class ℝ^*_𝑠
3		cvsca 16947	. . 3 class ·_𝑠
4	2, 3	cfv 6430	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1541	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 31527 sitmcl 32297

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