ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 33268

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 13138	. 2 class ·_e
2		cxrs 17556	. . 3 class ℝ^*_𝑠
3		cvsca 17316	. . 3 class ·_𝑠
4	2, 3	cfv 6539	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1567	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 33613 sitmcl 34688

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