| Mathbox for Thierry Arnoux |
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| 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 21763 | . 2 class ℝfld | |
| 2 | cxrs 17558 | . . 3 class ℝ*𝑠 | |
| 3 | csca 17317 | . . 3 class Scalar | |
| 4 | 2, 3 | cfv 6536 | . 2 class (Scalar‘ℝ*𝑠) |
| 5 | 1, 4 | wceq 1570 | 1 wff ℝfld = (Scalar‘ℝ*𝑠) |
| Colors of variables: wff setvar class |
| This axiom is used by: xrge0slmod 33677 sitmcl 34750 |
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