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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