![]() |
Mathbox for Thierry Arnoux |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > Mathboxes > ax-xrssca | Structured version Visualization version GIF version |
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 |
---|---|
ax-xrssca | ⊢ ℝfld = (Scalar‘ℝ*𝑠) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | crefld 21024 | . 2 class ℝfld | |
2 | cxrs 17387 | . . 3 class ℝ*𝑠 | |
3 | csca 17141 | . . 3 class Scalar | |
4 | 2, 3 | cfv 6497 | . 2 class (Scalar‘ℝ*𝑠) |
5 | 1, 4 | wceq 1542 | 1 wff ℝfld = (Scalar‘ℝ*𝑠) |
Colors of variables: wff setvar class |
This axiom is referenced by: xrge0slmod 32187 sitmcl 33008 |
Copyright terms: Public domain | W3C validator |