ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 31002

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 12703	. 2 class ·_e
2		cxrs 17005	. . 3 class ℝ^*_𝑠
3		cvsca 16806	. . 3 class ·_𝑠
4	2, 3	cfv 6380	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1543	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 31262 sitmcl 32030

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