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 20566 | . 2 class ℝfld | |
2 | cxrs 17005 | . . 3 class ℝ*𝑠 | |
3 | csca 16805 | . . 3 class Scalar | |
4 | 2, 3 | cfv 6380 | . 2 class (Scalar‘ℝ*𝑠) |
5 | 1, 4 | wceq 1543 | 1 wff ℝfld = (Scalar‘ℝ*𝑠) |
Colors of variables: wff setvar class |
This axiom is referenced by: xrge0slmod 31262 sitmcl 32030 |
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