Nuprl Lemma : dstype_wf
∀[TypeNames:Type]. ∀[d:DS(TypeNames)]. ∀[a:TypeNames]. (dstype(TypeNames; d; a) ∈ Type)
Proof
Definitions occuring in Statement :
dstype: dstype(TypeNames; d; a),
discrete_struct: DS(A),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
dstype: dstype(TypeNames; d; a),
discrete_struct: DS(A),
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
pi1_wf,
deq_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
applyEquality,
thin,
instantiate,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
functionEquality,
cumulativity,
hypothesisEquality,
universeEquality,
lambdaEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
productEquality
Latex:
\mforall{}[TypeNames:Type]. \mforall{}[d:DS(TypeNames)]. \mforall{}[a:TypeNames]. (dstype(TypeNames; d; a) \mmember{} Type)
Date html generated:
2016_05_14-PM-03_24_14
Last ObjectModification:
2015_12_26-PM-06_21_35
Theory : decidable!equality
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