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Re: [ssreflect] Matrices over subrings


Chronological Thread 
  • From: Xavier Allamigeon <>
  • To: Cyril <>, "" <>
  • Cc: "Ricardo D. Katz" <>
  • Subject: Re: [ssreflect] Matrices over subrings
  • Date: Thu, 24 May 2018 22:34:27 +0200

Dear Cyril,

Le 23/05/2018 à 19:30, Cyril a écrit :
The "right way" to do it is not to define a specific coercion
(matR_of_matR') but use "map_mx inR" instead (where you may define inR :
R' -> R to be val and prove it is a ring morphism). Then you can use
raddf0, raddfD, raddf*... (because map_mx f is additive when f is), or
theorems specific to map_mx such as map_mx1, map_mxZ, map_mxM, etc.
(There is currently nothing like "piE" to use them all in one go).
Thanks for your detailed explanations!

Best,
Xavier



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