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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 | โข ยทe = ( ยท๐ โโ*๐ ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cxmu 13097 | . 2 class ยทe | |
2 | cxrs 17455 | . . 3 class โ*๐ | |
3 | cvsca 17210 | . . 3 class ยท๐ | |
4 | 2, 3 | cfv 6537 | . 2 class ( ยท๐ โโ*๐ ) |
5 | 1, 4 | wceq 1533 | 1 wff ยทe = ( ยท๐ โโ*๐ ) |
Colors of variables: wff setvar class |
This axiom is referenced by: xrge0slmod 32966 sitmcl 33880 |
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