ax-xrssca - Mathbox for Thierry Arnoux

	Mathbox for Thierry Arnoux		< Previous Next > Nearby theorems
Mirrors > Home > MPE Home > Th. List > Mathboxes > ax-xrssca		Structured version Visualization version GIF version

Axiom ax-xrssca 29004

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 19769	. 2 class ℝ_fld
2		cxrs 15983	. . 3 class ℝ^*_𝑠
3		csca 15771	. . 3 class Scalar
4	2, 3	cfv 5804	. 2 class (Scalar‘ℝ^*_𝑠)
5	1, 4	wceq 1475	1 wff ℝ_fld = (Scalar‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 29175 sitmcl 29740

W3C validator