Nuprl Lemma : church-nil_wf
∀[T:Type]. (church-nil() ∈ Top ⟶ T ⟶ Top ⟶ T)
Proof
Definitions occuring in Statement :
church-nil: church-nil(),
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
church-nil: church-nil()
Lemmas referenced :
church-true_wf,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lambdaEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[T:Type]. (church-nil() \mmember{} Top {}\mrightarrow{} T {}\mrightarrow{} Top {}\mrightarrow{} T)
Date html generated:
2016_05_15-PM-03_22_29
Last ObjectModification:
2015_12_27-PM-01_04_51
Theory : general
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