ax-xrssca - Mathbox for Thierry Arnoux

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Axiom ax-xrssca 33565

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 21910	. 2 class ℝ_fld
2		cxrs 17672	. . 3 class ℝ^*_𝑠
3		csca 17431	. . 3 class Scalar
4	2, 3	cfv 6538	. 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 33909 sitmcl 34983

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