ax-xrssca - Mathbox for Thierry Arnoux

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Axiom ax-xrssca 33388

Description: Assume the scalar component of the extended real structure is the field of the real numbers (this has to be defined in the main body of set.mm). (Contributed by Thierry Arnoux, 22-Oct-2017.)

**Assertion**
Ref	Expression
ax-xrssca	⊢ ℝ_fld = (Scalar‘ℝ^*_𝑠)

**Detailed syntax breakdown of Axiom ax-xrssca**
Step	Hyp	Ref	Expression
1		crefld 21804	. 2 class ℝ_fld
2		cxrs 17576	. . 3 class ℝ^*_𝑠
3		csca 17335	. . 3 class Scalar
4	2, 3	cfv 6540	. 2 class (Scalar‘ℝ^*_𝑠)
5	1, 4	wceq 1570	1 wff ℝ_fld = (Scalar‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is used by: xrge0slmod 33732 sitmcl 34806

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