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Step * 1 of Lemma crng_all_properties


1. r : Rng
2. Comm(|r|;*)
⊢ Assoc(|r|;+r)
∧ Ident(|r|;+r;0)
∧ Inverse(|r|;+r;0;-r)
∧ Assoc(|r|;*)
∧ Comm(|r|;*)
∧ Ident(|r|;*;1)
∧ BiLinear(|r|;+r;*)
BY
{ AddAllProperties 1 THEN Auto }

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Latex:

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Latex:

1.  r  :  Rng
2.  Comm(|r|;*)
\mvdash{}  Assoc(|r|;+r)
\mwedge{}  Ident(|r|;+r;0)
\mwedge{}  Inverse(|r|;+r;0;-r)
\mwedge{}  Assoc(|r|;*)
\mwedge{}  Comm(|r|;*)
\mwedge{}  Ident(|r|;*;1)
\mwedge{}  BiLinear(|r|;+r;*)


By

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Latex:
AddAllProperties  1  THEN  Auto

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