Nuprl Lemma : void-initial-type
Initial(Void)
Proof
Definitions occuring in Statement :
type-cat: TypeCat,
cat-initial: Initial(i),
void: Void
Definitions unfolded in proof :
type-cat: TypeCat,
cat-initial: Initial(i),
cat-arrow: cat-arrow(C),
cat-ob: cat-ob(C),
pi1: fst(t),
pi2: snd(t),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
void_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
sqequalRule,
isect_memberFormation,
introduction,
cut,
functionExtensionality,
voidElimination,
extract_by_obid,
hypothesis,
functionEquality,
voidEquality,
cumulativity,
hypothesisEquality,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
axiomEquality,
because_Cache,
universeEquality
Latex:
Initial(Void)
Date html generated:
2020_05_20-AM-07_52_27
Last ObjectModification:
2017_01_08-PM-07_27_54
Theory : small!categories
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