---

Step * of Lemma matrix-times-req-real-matrix-times

∀[n,a,b:ℕ]. ∀[A:ℝ(a × n)]. ∀[B:ℝ(n × b)].  (A*B) ≡ (A*B)
BY
{ (Auto
   THEN RepUR ``matrix-times real-matrix-times mx matrix-ap rng_sum mon_itop`` 0
   THEN Auto
   THEN D 0
   THEN Reduce 0
   THEN Auto) }

---

Latex:

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Latex:
\mforall{}[n,a,b:\mBbbN{}].  \mforall{}[A:\mBbbR{}(a  \mtimes{}  n)].  \mforall{}[B:\mBbbR{}(n  \mtimes{}  b)].    (A*B)  \mequiv{}  (A*B)


By

---

Latex:
(Auto
  THEN  RepUR  ``matrix-times  real-matrix-times  mx  matrix-ap  rng\_sum  mon\_itop``  0
  THEN  Auto
  THEN  D  0
  THEN  Reduce  0
  THEN  Auto)

---

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