ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 33084

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 13057	. 2 class ·_e
2		cxrs 17459	. . 3 class ℝ^*_𝑠
3		cvsca 17219	. . 3 class ·_𝑠
4	2, 3	cfv 6494	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1542	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 33427 sitmcl 34515

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