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Step * 1 of Lemma face-1-implies-subset


1. Gamma : CubicalSet{j}
2. phi : {Gamma ⊢ _:𝔽}
3. Gamma ⊢ (1(𝔽) ⇒ phi)
4. sub_cubical_set{j:l}(Gamma; Gamma, 1(𝔽))
⊢ sub_cubical_set{j:l}(Gamma, 1(𝔽); Gamma, phi)
BY
{ (BLemma `face-term-implies-subset` THEN Auto) }

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Latex:

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Latex:

1.  Gamma  :  CubicalSet\{j\}
2.  phi  :  \{Gamma  \mvdash{}  \_:\mBbbF{}\}
3.  Gamma  \mvdash{}  (1(\mBbbF{})  {}\mRightarrow{}  phi)
4.  sub\_cubical\_set\{j:l\}(Gamma;  Gamma,  1(\mBbbF{}))
\mvdash{}  sub\_cubical\_set\{j:l\}(Gamma,  1(\mBbbF{});  Gamma,  phi)


By

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Latex:
(BLemma  `face-term-implies-subset`  THEN  Auto)

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