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Step * 1 of Lemma rng_all_properties


1. r : RngSig
2. IsRing(|r|;+r;0;-r;*;1)
⊢ Assoc(|r|;+r) ∧ Ident(|r|;+r;0) ∧ Inverse(|r|;+r;0;-r) ∧ Assoc(|r|;*) ∧ Ident(|r|;*;1) ∧ BiLinear(|r|;+r;*)
BY
{ RepUnfolds ``ring_p group_p monoid_p`` 2 
THEN Auto }

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Latex:

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Latex:

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


By

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Latex:
RepUnfolds  ``ring\_p  group\_p  monoid\_p``  2 
THEN  Auto

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