Nuprl Lemma : presheaf-false_wf
∀[C:SmallCategory]. (False ∈ ps_context{j:l}(C))
Proof
Definitions occuring in Statement :
presheaf-false: False,
ps_context: __⊢,
uall: ∀[x:A]. B[x],
member: t ∈ T,
small-category: SmallCategory
Definitions unfolded in proof :
member: t ∈ T,
uall: ∀[x:A]. B[x],
presheaf-false: False
Lemmas referenced :
discrete-set_wf,
small-category_wf
Rules used in proof :
cut,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
voidEquality,
isect_memberFormation_alt,
introduction,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType
Latex:
\mforall{}[C:SmallCategory]. (False \mmember{} ps\_context\{j:l\}(C))
Date html generated:
2020_05_20-PM-01_23_47
Last ObjectModification:
2020_04_01-AM-10_45_54
Theory : presheaf!models!of!type!theory
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