Step
*
of Lemma
matrix-plus-zero-left
∀[k,m:ℕ]. ∀[r:Rng]. ∀[N:Matrix(k;m;r)]. (0 + N = N ∈ Matrix(k;m;r))
BY
{ (Auto
THEN RepUR ``matrix`` 0
THEN RepeatFor 2 ((FunExt THENA Auto))
THEN RenameVar `y' (-1)
THEN RepUR ``matrix-plus mx matrix-ap zero-matrix`` 0
THEN Fold `matrix-ap` 0
THEN RW RngNormC 0
THEN Auto) }
Latex:
Latex:
\mforall{}[k,m:\mBbbN{}]. \mforall{}[r:Rng]. \mforall{}[N:Matrix(k;m;r)]. (0 + N = N)
By
Latex:
(Auto
THEN RepUR ``matrix`` 0
THEN RepeatFor 2 ((FunExt THENA Auto))
THEN RenameVar `y' (-1)
THEN RepUR ``matrix-plus mx matrix-ap zero-matrix`` 0
THEN Fold `matrix-ap` 0
THEN RW RngNormC 0
THEN Auto)
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