ax-xrsvsca - Mathbox for Thierry Arnoux

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Axiom ax-xrsvsca 32989

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 13047	. 2 class ·_e
2		cxrs 17439	. . 3 class ℝ^*_𝑠
3		cvsca 17200	. . 3 class ·_𝑠
4	2, 3	cfv 6499	. 2 class ( ·_𝑠 ‘ℝ^*_𝑠)
5	1, 4	wceq 1540	1 wff ·_e = ( ·_𝑠 ‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 33312 sitmcl 34335

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