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Step * of Lemma face-forall-type-subtype

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∀[H:j⊢]. ∀[phi:{H.𝕀 ⊢ _:𝔽}].  ({H.𝕀, phi ⊢ _} ⊆r {H.𝕀, ((∀ phi))p ⊢ _})
BY
{ (Auto THEN BLemma `subset-cubical-type` THEN Auto THEN BLemma `face-term-implies-subset` THEN Auto) }

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Latex:

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Latex:
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\mforall{}[H:j\mvdash{}].  \mforall{}[phi:\{H.\mBbbI{}  \mvdash{}  \_:\mBbbF{}\}].    (\{H.\mBbbI{},  phi  \mvdash{}  \_\}  \msubseteq{}r  \{H.\mBbbI{},  ((\mforall{}  phi))p  \mvdash{}  \_\})


By

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

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