Metamath Proof Explorer


Axiom ax-xrssca

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)

Ref Expression
Assertion ax-xrssca
|- RRfld = ( Scalar ` RR*s )

Detailed syntax breakdown

Step Hyp Ref Expression
0 crefld
 |-  RRfld
1 csca
 |-  Scalar
2 cxrs
 |-  RR*s
3 2 1 cfv
 |-  ( Scalar ` RR*s )
4 0 3 wceq
 |-  RRfld = ( Scalar ` RR*s )