Nuprl Lemma : small-category_wf
SmallCategory ∈ 𝕌'
Proof
Definitions occuring in Statement :
small-category: SmallCategory,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
small-category: SmallCategory,
member: t ∈ T,
subtype_rel: A ⊆r B,
spreadn: spread4,
and: P ∧ Q,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
prop: ℙ,
so_apply: x[s]
Lemmas referenced :
all_wf,
equal_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
setEquality,
productEquality,
universeEquality,
functionEquality,
cumulativity,
hypothesisEquality,
because_Cache,
cut,
applyEquality,
functionExtensionality,
hypothesis,
thin,
lambdaEquality,
sqequalHypSubstitution,
productElimination,
introduction,
extract_by_obid,
isectElimination
Latex:
SmallCategory \mmember{} \mBbbU{}'
Date html generated:
2017_10_05-AM-00_45_30
Last ObjectModification:
2017_07_28-AM-09_18_55
Theory : small!categories
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