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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 13123 | . 2 class ยทe | |
2 | cxrs 17481 | . . 3 class โ*๐ | |
3 | cvsca 17236 | . . 3 class ยท๐ | |
4 | 2, 3 | cfv 6543 | . 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 33108 sitmcl 34028 |
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