Nuprl Lemma : constructor_wf
∀[F:Type ⟶ Type]. (Constr(T.F[T]) ∈ 𝕌')
Proof
Definitions occuring in Statement :
constructor: Constr(T.F[T]),
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
constructor: Constr(T.F[T]),
so_apply: x[s]
Lemmas referenced :
subtype_rel_wf,
base_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
isectEquality,
setEquality,
universeEquality,
cumulativity,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
functionEquality,
setElimination,
rename,
applyEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[F:Type {}\mrightarrow{} Type]. (Constr(T.F[T]) \mmember{} \mBbbU{}')
Date html generated:
2016_05_15-PM-06_55_21
Last ObjectModification:
2015_12_27-AM-11_40_53
Theory : general
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