ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 32988

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 13174	. 2 class ·_e
2		cxrs 17560	. . 3 class ℝ^*_𝑠
3		cvsca 17315	. . 3 class ·_𝑠
4	2, 3	cfv 6573	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1537	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 33341 sitmcl 34316

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