Mathbox for Thierry Arnoux |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > ax-xrsvsca | Structured version Visualization version GIF version |
Description: Assume the scalar product of the extended real structure is the extended real number multiplication operation (this has to be defined in the main body of set.mm). (Contributed by Thierry Arnoux, 22-Oct-2017.) |
Ref | Expression |
---|---|
ax-xrsvsca | ⊢ ·e = ( ·𝑠 ‘ℝ*𝑠) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cxmu 12507 | . 2 class ·e | |
2 | cxrs 16773 | . . 3 class ℝ*𝑠 | |
3 | cvsca 16569 | . . 3 class ·𝑠 | |
4 | 2, 3 | cfv 6355 | . 2 class ( ·𝑠 ‘ℝ*𝑠) |
5 | 1, 4 | wceq 1537 | 1 wff ·e = ( ·𝑠 ‘ℝ*𝑠) |
Colors of variables: wff setvar class |
This axiom is referenced by: xrge0slmod 30917 sitmcl 31609 |
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