Step * 1 of Lemma rng-pp-nontriv1_wf

.....equality..... 
1. IntegDom{i}
2. eq EqDecider(|r|)
3. {p:ℕ3 ⟶ |r|| ¬(p 0 ∈ (ℕ3 ⟶ |r|))} 
⊢ rng-pp-nontriv1(r;eq;l) TERMOF{rng-pp-nontrivial-3-ext:o, \\v:l, i:l} eq l
BY
(RW (AddrC [2] (TagC (mk_tag_term 1))) THEN Reduce THEN Auto) }


Latex:


Latex:
.....equality..... 
1.  r  :  IntegDom\{i\}
2.  eq  :  EqDecider(|r|)
3.  l  :  \{p:\mBbbN{}3  {}\mrightarrow{}  |r||  \mneg{}(p  =  0)\} 
\mvdash{}  rng-pp-nontriv1(r;eq;l)  \msim{}  TERMOF\{rng-pp-nontrivial-3-ext:o,  \mbackslash{}\mbackslash{}v:l,  i:l\}  r  eq  l


By


Latex:
(RW  (AddrC  [2]  (TagC  (mk\_tag\_term  1)))  0  THEN  Reduce  0  THEN  Auto)




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