ax-xrssca - Mathbox for Thierry Arnoux

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Axiom ax-xrssca 29673

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 19950	. 2 class ℝ_fld
2		cxrs 16160	. . 3 class ℝ^*_𝑠
3		csca 15944	. . 3 class Scalar
4	2, 3	cfv 5888	. 2 class (Scalar‘ℝ^*_𝑠)
5	1, 4	wceq 1483	1 wff ℝ_fld = (Scalar‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 29844 sitmcl 30413

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