ax-xrssca - Mathbox for Thierry Arnoux

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Axiom ax-xrssca 32438

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 21377	. 2 class ℝ_fld
2		cxrs 17451	. . 3 class ℝ^*_𝑠
3		csca 17205	. . 3 class Scalar
4	2, 3	cfv 6544	. 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 32730 sitmcl 33645

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