ax-xrssca - Mathbox for Thierry Arnoux

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Axiom ax-xrssca 33664

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 21965	. 2 class ℝ_fld
2		cxrs 17722	. . 3 class ℝ^*_𝑠
3		csca 17475	. . 3 class Scalar
4	2, 3	cfv 6566	. 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 34013 sitmcl 35094

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