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Step * of Lemma matrix-transpose-times

∀[n,k,m:ℕ]. ∀[r:CRng]. ∀[M:Matrix(n;k;r)]. ∀[N:Matrix(k;m;r)].  ((M*N)' = (N'*M') ∈ Matrix(m;n;r))
BY
{ (Auto
   THEN RepUR ``matrix-transpose matrix-times`` 0
   THEN EqCDA
   THEN RepUR ``mx matrix-ap`` 0
   THEN Fold `matrix-ap` 0
   THEN EqCDA
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[n,k,m:\mBbbN{}].  \mforall{}[r:CRng].  \mforall{}[M:Matrix(n;k;r)].  \mforall{}[N:Matrix(k;m;r)].    ((M*N)'  =  (N'*M'))


By

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Latex:
(Auto
  THEN  RepUR  ``matrix-transpose  matrix-times``  0
  THEN  EqCDA
  THEN  RepUR  ``mx  matrix-ap``  0
  THEN  Fold  `matrix-ap`  0
  THEN  EqCDA
  THEN  Auto)

---

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