Users' Mathboxes Mathbox for Thierry Arnoux < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  ax-xrsvsca Structured version   Visualization version   GIF version

Axiom ax-xrsvsca 30008
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.)
Assertion
Ref Expression
ax-xrsvsca ·e = ( ·𝑠 ‘ℝ*𝑠)

Detailed syntax breakdown of Axiom ax-xrsvsca
StepHypRef Expression
1 cxmu 12149 . 2 class ·e
2 cxrs 16367 . . 3 class *𝑠
3 cvsca 16152 . . 3 class ·𝑠
42, 3cfv 6031 . 2 class ( ·𝑠 ‘ℝ*𝑠)
51, 4wceq 1630 1 wff ·e = ( ·𝑠 ‘ℝ*𝑠)
Colors of variables: wff setvar class
This axiom is referenced by:  xrge0slmod  30178  sitmcl  30747
  Copyright terms: Public domain W3C validator