Nuprl Lemma : A-map'_wf
∀[Val:Type]. ∀[n:ℕ]. ∀[AType:array{i:l}(Val;n)]. (A-map'(array-model(AType)) ∈ Type ⟶ Type)
Proof
Definitions occuring in Statement :
A-map': A-map'(AModel),
array-model: array-model(AType),
array: array{i:l}(Val;n),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
array-model: array-model(AType),
uall: ∀[x:A]. B[x],
member: t ∈ T,
A-map': A-map'(AModel),
pi2: snd(t),
pi1: fst(t)
Lemmas referenced :
M-map_wf,
array-monad'_wf,
array_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[Val:Type]. \mforall{}[n:\mBbbN{}]. \mforall{}[AType:array\{i:l\}(Val;n)]. (A-map'(array-model(AType)) \mmember{} Type {}\mrightarrow{} Type)
Date html generated:
2016_05_15-PM-02_18_16
Last ObjectModification:
2015_12_27-AM-08_58_59
Theory : monads
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