Nuprl Lemma : cc-fst_wf_interval
∀[Gamma:j⊢]. (p ∈ Gamma.𝕀 j⟶ Gamma)
Proof
Definitions occuring in Statement :
interval-type: 𝕀,
cc-fst: p,
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 :
cc-fst_wf,
interval-type_wf,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
thin,
instantiate,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
hypothesis,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType
Latex:
\mforall{}[Gamma:j\mvdash{}]. (p \mmember{} Gamma.\mBbbI{} j{}\mrightarrow{} Gamma)
Date html generated:
2020_05_20-PM-02_36_11
Last ObjectModification:
2020_04_17-AM-00_28_34
Theory : cubical!type!theory
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