Step * of Lemma decode-universe-term

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āˆ€[G:jāŠ¢]. (decode(tš•Œcš•Œ āˆˆ {G āŠ¢_})
BY
(Intro
   THEN Unfolds ``universe-term`` 0
   THEN (InstLemma `universe-decode-encode` [āŒœparm{j}āŒ;āŒœparm{i'}āŒ;āŒœGāŒ;āŒœcš•ŒāŒ;āŒœuniv-comp{i:l}()āŒ]ā‹… THENA Auto)
   THEN NthHypSq (-1)
   THEN RepeatFor (EqCD)) }

1
1. CubicalSet{j}
2. decode(encode(cš•Œ;univ-comp{i:l}())) cš•Œ āˆˆ {G āŠ¢_}
āŠ¢ encode(cš•Œ;univ-comp{i:l}()) encode(cš•Œ;univ-comp{i:l}())


Latex:


Latex:
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\mforall{}[G:j\mvdash{}].  (decode(t\mBbbU{})  =  c\mBbbU{})


By


Latex:
(Intro
  THEN  Unfolds  ``universe-term``  0
  THEN  (InstLemma  `universe-decode-encode`  [\mkleeneopen{}parm\{j\}\mkleeneclose{};\mkleeneopen{}parm\{i'\}\mkleeneclose{};\mkleeneopen{}G\mkleeneclose{};\mkleeneopen{}c\mBbbU{}\mkleeneclose{};\mkleeneopen{}univ-comp\{i:l\}()\mkleeneclose{}]\mcdot{}
              THENA  Auto
              )
  THEN  NthHypSq  (-1)
  THEN  RepeatFor  2  (EqCD))




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