ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 33089

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 13027	. 2 class ·_e
2		cxrs 17423	. . 3 class ℝ^*_𝑠
3		cvsca 17183	. . 3 class ·_𝑠
4	2, 3	cfv 6492	. 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 33431 sitmcl 34510

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