ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 30220

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 12232	. 2 class ·_e
2		cxrs 16514	. . 3 class ℝ^*_𝑠
3		cvsca 16310	. . 3 class ·_𝑠
4	2, 3	cfv 6124	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1658	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 30390 sitmcl 30959

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