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Step * 1 of Lemma drng_all_properties


1. r : RngSig
2. IsRing(|r|;+r;0;-r;*;1) ∧ IsEqFun(|r|;=b)
⊢ Assoc(|r|;+r)
∧ Ident(|r|;+r;0)
∧ Inverse(|r|;+r;0;-r)
∧ Assoc(|r|;*)
∧ Ident(|r|;*;1)
∧ BiLinear(|r|;+r;*)
∧ IsEqFun(|r|;=b)
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)  \mwedge{}  IsEqFun(|r|;=\msubb{})
\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;*)
\mwedge{}  IsEqFun(|r|;=\msubb{})


By

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

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