ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 33008

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 13154	. 2 class ·_e
2		cxrs 17546	. . 3 class ℝ^*_𝑠
3		cvsca 17302	. . 3 class ·_𝑠
4	2, 3	cfv 6560	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1539	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 33377 sitmcl 34354

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