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Step * 1 of Lemma extend-face-term-morph


1. I : fset(ℕ)
2. phi : Point(face_lattice(I))
3. u : {I,phi ⊢ _:𝔽}
4. J : fset(ℕ)
5. f : J ⟶ I
⊢ (extend-face-term(I;phi;u))<f> ≤ (phi)<f>
BY
{ (BLemma `lattice-hom-le` THEN Auto) }

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Latex:

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Latex:

1.  I  :  fset(\mBbbN{})
2.  phi  :  Point(face\_lattice(I))
3.  u  :  \{I,phi  \mvdash{}  \_:\mBbbF{}\}
4.  J  :  fset(\mBbbN{})
5.  f  :  J  {}\mrightarrow{}  I
\mvdash{}  (extend-face-term(I;phi;u))<f>  \mleq{}  (phi)<f>


By

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Latex:
(BLemma  `lattice-hom-le`  THEN  Auto)

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