Nuprl Lemma : A-null_wf
∀[Val:Type]. ∀[n:ℕ]. ∀[AType:array{i:l}(Val;n)]. (A-null(AType) ∈ A-map Unit)
Proof
Definitions occuring in Statement :
A-null: A-null(AType),
A-map: A-map,
array-model: array-model(AType),
array: array{i:l}(Val;n),
nat: ℕ,
uall: ∀[x:A]. B[x],
unit: Unit,
member: t ∈ T,
apply: f a,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
A-null: A-null(AType),
subtype_rel: A ⊆r B
Lemmas referenced :
A-return_wf,
unit_wf2,
A-map_wf,
it_wf,
array_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
applyEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
lambdaEquality,
equalityTransitivity,
equalitySymmetry,
isectEquality,
universeEquality,
cumulativity,
functionEquality,
axiomEquality,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[Val:Type]. \mforall{}[n:\mBbbN{}]. \mforall{}[AType:array\{i:l\}(Val;n)]. (A-null(AType) \mmember{} A-map Unit)
Date html generated:
2016_05_15-PM-02_19_16
Last ObjectModification:
2015_12_27-AM-08_58_22
Theory : monads
Home
Index