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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 21163 | . 2 class ℝfld | |
2 | cxrs 17448 | . . 3 class ℝ*𝑠 | |
3 | csca 17202 | . . 3 class Scalar | |
4 | 2, 3 | cfv 6543 | . 2 class (Scalar‘ℝ*𝑠) |
5 | 1, 4 | wceq 1541 | 1 wff ℝfld = (Scalar‘ℝ*𝑠) |
Colors of variables: wff setvar class |
This axiom is referenced by: xrge0slmod 32504 sitmcl 33419 |
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