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 31184

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 20721	. 2 class ℝ_fld
2		cxrs 17128	. . 3 class ℝ^*_𝑠
3		csca 16891	. . 3 class Scalar
4	2, 3	cfv 6418	. 2 class (Scalar‘ℝ^*_𝑠)
5	1, 4	wceq 1539	1 wff ℝ_fld = (Scalar‘ℝ^*_𝑠)

Colors of variables: wff setvar class

This axiom is referenced by: xrge0slmod 31450 sitmcl 32218

W3C validator