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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 13037 | . 2 class ยทe | |
2 | cxrs 17387 | . . 3 class โ*๐ | |
3 | cvsca 17142 | . . 3 class ยท๐ | |
4 | 2, 3 | cfv 6497 | . 2 class ( ยท๐ โโ*๐ ) |
5 | 1, 4 | wceq 1542 | 1 wff ยทe = ( ยท๐ โโ*๐ ) |
Colors of variables: wff setvar class |
This axiom is referenced by: xrge0slmod 32187 sitmcl 33008 |
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