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Step * of Lemma path-type-subset-adjoin2

∀[X,T1,T2,A,w,a,phi:Top].  ((X, phi.T1.T2 ⊢ Path_A a w) ~ (X.T1.T2 ⊢ Path_A a w))
BY
{ (Intros
   THEN RepUR ``path-type cubical-subset`` 0
   THEN RepUR ``pathtype`` 0
   THEN RepUR ``cubical-fun cubical-fun-family cube-context-adjoin context-subset`` 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[X,T1,T2,A,w,a,phi:Top].    ((X,  phi.T1.T2  \mvdash{}  Path\_A  a  w)  \msim{}  (X.T1.T2  \mvdash{}  Path\_A  a  w))


By

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Latex:
(Intros
  THEN  RepUR  ``path-type  cubical-subset``  0
  THEN  RepUR  ``pathtype``  0
  THEN  RepUR  ``cubical-fun  cubical-fun-family  cube-context-adjoin  context-subset``  0
  THEN  Auto)

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