Nuprl Lemma : univalence_wf
∀[G:j⊢]. G ⊢' Univalence
Proof
Definitions occuring in Statement :
univalence: Univalence,
cubical-type: {X ⊢ _},
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
univalence: Univalence,
member: t ∈ T,
subtype_rel: A ⊆r B
Lemmas referenced :
cubical_set_wf,
cubical-pi_wf,
cubical-universe_wf,
contractible-type_wf,
cube-context-adjoin_wf,
cubical_set_cumulativity-i-j,
cubical-type-cumulativity2,
cubical-sigma_wf,
cc-snd_wf,
csm-cubical-universe,
csm-ap-term_wf,
cc-fst_wf,
cubical-equiv_wf,
universe-decode_wf,
cubical-type-cumulativity
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
universeIsType,
cut,
instantiate,
introduction,
extract_by_obid,
hypothesis,
thin,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
applyEquality,
sqequalRule,
because_Cache,
Error :memTop,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[G:j\mvdash{}]. G \mvdash{}' Univalence
Date html generated:
2020_05_20-PM-07_42_01
Last ObjectModification:
2020_04_28-PM-11_20_03
Theory : cubical!type!theory
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