Nuprl Lemma : array-model-type_wf
∀[Val:Type]. ∀[n:ℕ]. ∀[AType:array{i:l}(Val;n)]. (array-model-type{i:l}(AType;Val;n) ∈ 𝕌')
Proof
Definitions occuring in Statement :
array-model-type: array-model-type{i:l}(AType;Val;n),
array: array{i:l}(Val;n),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
array-model-type: array-model-type{i:l}(AType;Val;n),
let: let,
subtype_rel: A ⊆r B,
nat: ℕ
Lemmas referenced :
M-map_wf,
array-monad_wf,
int_seg_wf,
unit_wf2,
array-monad'_wf,
Arr_wf,
array_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
productEquality,
isectEquality,
universeEquality,
functionEquality,
cumulativity,
hypothesisEquality,
applyEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
lambdaEquality,
because_Cache,
natural_numberEquality,
setElimination,
rename,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality
Latex:
\mforall{}[Val:Type]. \mforall{}[n:\mBbbN{}]. \mforall{}[AType:array\{i:l\}(Val;n)]. (array-model-type\{i:l\}(AType;Val;n) \mmember{} \mBbbU{}')
Date html generated:
2016_05_15-PM-02_18_08
Last ObjectModification:
2015_12_27-AM-08_59_01
Theory : monads
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