Nuprl Lemma : cubical-term_wf-universe
∀X:j⊢. ({X ⊢ _:c𝕌} ∈ 𝕌{[i' | j']})
Proof
Definitions occuring in Statement :
cubical-universe: c𝕌,
cubical-term: {X ⊢ _:A},
cubical_set: CubicalSet,
all: ∀x:A. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
cubical-term_wf,
cubical-universe_wf,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation_alt,
cut,
thin,
instantiate,
introduction,
extract_by_obid,
hypothesis,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
universeIsType
Latex:
\mforall{}X:j\mvdash{}. (\{X \mvdash{} \_:c\mBbbU{}\} \mmember{} \mBbbU{}\{[i' | j']\})
Date html generated:
2020_05_20-PM-07_07_00
Last ObjectModification:
2020_04_25-PM-01_06_43
Theory : cubical!type!theory
Home
Index