Nuprl Lemma : cubical-it-unique

[X:j⊢]. ∀[t:{X ⊢ _:1}].  (t * ∈ {X ⊢ _:1})


Proof




Definitions occuring in Statement :  cubical-it: * cubical-unit: 1 cubical-term: {X ⊢ _:A} cubical_set: CubicalSet uall: [x:A]. B[x] equal: t ∈ T
Definitions unfolded in proof :  uall: [x:A]. B[x] member: t ∈ T cubical_set: CubicalSet cubical-unit: 1 presheaf-unit: 1 discrete-cubical-type: discr(T) discrete-presheaf-type: discr(T) cubical-it: * presheaf-it: * discrete-cubical-term: discr(t) discrete-presheaf-term: discr(t)
Lemmas referenced :  presheaf-it-unique cube-cat_wf cubical-term-sq-presheaf-term
Rules used in proof :  cut introduction extract_by_obid sqequalHypSubstitution sqequalSubstitution sqequalTransitivity computationStep sqequalReflexivity isectElimination thin hypothesis sqequalRule Error :memTop

Latex:
\mforall{}[X:j\mvdash{}].  \mforall{}[t:\{X  \mvdash{}  \_:1\}].    (t  =  *)



Date html generated: 2020_05_20-PM-02_32_40
Last ObjectModification: 2020_04_03-PM-08_42_59

Theory : cubical!type!theory


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