Step * 1 1 of Lemma cubical-id-equiv-subset

.....equality..... 
1. Top
2. phi Top
3. Top
⊢ path-contraction(G, phi.A.(A)p.(Path_((A)p)p (q)p q);q) path-contraction(G.A.(A)p.(Path_((A)p)p (q)p q);q)
BY
RepUR ``path-contraction term-to-path`` }

1
1. Top
2. phi Top
3. Top
⊢ ((q)p)p (q)p ∧ q) ((q)p)p (q)p ∧ q)


Latex:


Latex:
.....equality..... 
1.  G  :  Top
2.  phi  :  Top
3.  A  :  Top
\mvdash{}  path-contraction(G,  phi.A.(A)p.(Path\_((A)p)p  (q)p  q);q) 
\msim{}  path-contraction(G.A.(A)p.(Path\_((A)p)p  (q)p  q);q)


By


Latex:
RepUR  ``path-contraction  term-to-path``  0




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