ax-xrssca - Mathbox for Thierry Arnoux

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Axiom ax-xrssca 28811

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 19679	. 2 class ℝ_fld
2		cxrs 15871	. . 3 class ℝ^*_𝑠
3		csca 15659	. . 3 class Scalar
4	2, 3	cfv 5689	. 2 class (Scalar‘ℝ^*_𝑠)
5	1, 4	wceq 1474	1 wff ℝ_fld = (Scalar‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 28982 sitmcl 29558

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