ax-xrssca - Mathbox for Thierry Arnoux

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Axiom ax-xrssca 30389

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 20450	. 2 class ℝ_fld
2		cxrs 16629	. . 3 class ℝ^*_𝑠
3		csca 16424	. . 3 class Scalar
4	2, 3	cfv 6188	. 2 class (Scalar‘ℝ^*_𝑠)
5	1, 4	wceq 1507	1 wff ℝ_fld = (Scalar‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 30593 sitmcl 31251

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