ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 33185

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 13115	. 2 class ·_e
2		cxrs 17532	. . 3 class ℝ^*_𝑠
3		cvsca 17292	. . 3 class ·_𝑠
4	2, 3	cfv 6523	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1562	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 33536 sitmcl 34650

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