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 20676 | . 2 class ℝfld | |
2 | cxrs 16761 | . . 3 class ℝ*𝑠 | |
3 | csca 16556 | . . 3 class Scalar | |
4 | 2, 3 | cfv 6348 | . 2 class (Scalar‘ℝ*𝑠) |
5 | 1, 4 | wceq 1528 | 1 wff ℝfld = (Scalar‘ℝ*𝑠) |
Colors of variables: wff setvar class |
This axiom is referenced by: xrge0slmod 30844 sitmcl 31508 |
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