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[ssreflect] Direct sum of delta_mx


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  • From: Cyril <>
  • To: ssreflect <>
  • Subject: [ssreflect] Direct sum of delta_mx
  • Date: Fri, 20 Nov 2015 15:43:37 +0900

Hi, I would like to prove that the subspaces generated by the delta_mx form
a direct sum. I expected it to be immediate and I can't find a solution.

Any help ?

Lemma mxdirect_delta (F : fieldType) (T : finType)
(n : nat) (P : pred T) (f : T -> 'I_n) :
injective f ->
mxdirect (\sum_(i | P i) <<delta_mx 0 (f i) : 'rV[F]_n>>)%MS.

Best,
--
Cyril



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