ax-xrssca - Mathbox for Thierry Arnoux

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Axiom ax-xrssca 32989

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 21640	. 2 class ℝ_fld
2		cxrs 17547	. . 3 class ℝ^*_𝑠
3		csca 17301	. . 3 class Scalar
4	2, 3	cfv 6563	. 2 class (Scalar‘ℝ^*_𝑠)
5	1, 4	wceq 1537	1 wff ℝ_fld = (Scalar‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 33356 sitmcl 34333

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