Nuprl Lemma : csm-id-adjoin_wf-interval-0
∀[Gamma:j⊢]. ([0(𝕀)] ∈ Gamma j⟶ Gamma.𝕀)
Proof
Definitions occuring in Statement :
interval-0: 0(𝕀),
interval-type: 𝕀,
csm-id-adjoin: [u],
cube-context-adjoin: X.A,
cube_set_map: A ⟶ B,
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
csm-id-adjoin_wf,
interval-type_wf,
interval-0_wf,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
cut,
thin,
instantiate,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
hypothesis,
equalityTransitivity,
equalitySymmetry,
universeIsType
Latex:
\mforall{}[Gamma:j\mvdash{}]. ([0(\mBbbI{})] \mmember{} Gamma j{}\mrightarrow{} Gamma.\mBbbI{})
Date html generated:
2020_05_20-PM-02_36_02
Last ObjectModification:
2020_04_04-PM-02_09_55
Theory : cubical!type!theory
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