Step
*
of Lemma
matrix-det-dim1
∀[r:CRng]. ∀[M:Row(1;r)].  (|M| = M[0,0] ∈ |r|)
BY
{ ((Auto THEN Unfold `matrix-det` 0)
   THEN RWO "permutations-list-1" 0
   THEN Reduce 0
   THEN RepUR ``permutation-sign let int-prod`` 0
   THEN (RWO "rng_prod_unroll_hi" 0 THENA Auto)
   THEN Reduce 0
   THEN RW RngNormC 0
   THEN Auto) }
Latex:
Latex:
\mforall{}[r:CRng].  \mforall{}[M:Row(1;r)].    (|M|  =  M[0,0])
By
Latex:
((Auto  THEN  Unfold  `matrix-det`  0)
  THEN  RWO  "permutations-list-1"  0
  THEN  Reduce  0
  THEN  RepUR  ``permutation-sign  let  int-prod``  0
  THEN  (RWO  "rng\_prod\_unroll\_hi"  0  THENA  Auto)
  THEN  Reduce  0
  THEN  RW  RngNormC  0
  THEN  Auto)
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