ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 29005

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 11821	. 2 class ·_e
2		cxrs 15983	. . 3 class ℝ^*_𝑠
3		cvsca 15772	. . 3 class ·_𝑠
4	2, 3	cfv 5804	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1475	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 29175 sitmcl 29740

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