ax-xrssca - Mathbox for Thierry Arnoux

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Axiom ax-xrssca 32949

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 21520	. 2 class ℝ_fld
2		cxrs 17470	. . 3 class ℝ^*_𝑠
3		csca 17230	. . 3 class Scalar
4	2, 3	cfv 6514	. 2 class (Scalar‘ℝ^*_𝑠)
5	1, 4	wceq 1540	1 wff ℝ_fld = (Scalar‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 33326 sitmcl 34349

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