Step
*
of Lemma
respects-equality-face-lattice-point-2
∀[I,J:fset(ℕ)].  respects-equality(fset(fset(names(I) + names(I)));Point(face_lattice(J)))
BY
{ (RepUR ``lattice-point face_lattice face-lattice`` 0
   THEN RepUR ``free-dist-lattice-with-constraints constrained-antichain-lattice `` 0
   THEN RepUR ``mk-bounded-distributive-lattice mk-bounded-lattice`` 0
   THEN Auto) }
Latex:
Latex:
\mforall{}[I,J:fset(\mBbbN{})].    respects-equality(fset(fset(names(I)  +  names(I)));Point(face\_lattice(J)))
By
Latex:
(RepUR  ``lattice-point  face\_lattice  face-lattice``  0
  THEN  RepUR  ``free-dist-lattice-with-constraints  constrained-antichain-lattice  ``  0
  THEN  RepUR  ``mk-bounded-distributive-lattice  mk-bounded-lattice``  0
  THEN  Auto)
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