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Step * of Lemma name-morph-satisfies-join

∀I,J:fset(ℕ). ∀a,b:Point(face_lattice(I)). ∀f:J ⟶ I.  ((fl-join(I;a;b) f) = 1 ⇐⇒ (a f) = 1 ∨ (b f) = 1)
BY
{ ((UnivCD THENA Auto)
   THEN Unfold `name-morph-satisfies` 0
   THEN Unfold `fl-join` 0
   THEN (RWO "fl-morph-join" 0 THENA Auto)
   THEN RWO "face_lattice-1-join-irreducible" 0⋅
   THEN Auto) }

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Latex:

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Latex:
\mforall{}I,J:fset(\mBbbN{}).  \mforall{}a,b:Point(face\_lattice(I)).  \mforall{}f:J  {}\mrightarrow{}  I.
    ((fl-join(I;a;b)  f)  =  1  \mLeftarrow{}{}\mRightarrow{}  (a  f)  =  1  \mvee{}  (b  f)  =  1)


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  Unfold  `name-morph-satisfies`  0
  THEN  Unfold  `fl-join`  0
  THEN  (RWO  "fl-morph-join"  0  THENA  Auto)
  THEN  RWO  "face\_lattice-1-join-irreducible"  0\mcdot{}
  THEN  Auto)

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