Nuprl Lemma : A-assign2_wf
∀[Val:Type]. ∀[n:ℕ]. ∀[AType:array{i:l}(Val;n)]. ∀[i:ℕn]. ∀[v:Val].  (A-assign2(array-model(AType);i;v) ∈ A-map Unit)
Proof
Definitions occuring in Statement : 
A-assign2: A-assign2(AModel;i;v)
, 
A-map: A-map
, 
array-model: array-model(AType)
, 
array: array{i:l}(Val;n)
, 
int_seg: {i..j-}
, 
nat: ℕ
, 
uall: ∀[x:A]. B[x]
, 
unit: Unit
, 
member: t ∈ T
, 
apply: f a
, 
natural_number: $n
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
A-assign2: A-assign2(AModel;i;v)
, 
nat: ℕ
Lemmas referenced : 
A-assign_wf, 
int_seg_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, 
axiomEquality, 
equalityTransitivity, 
equalitySymmetry, 
isect_memberEquality, 
because_Cache, 
natural_numberEquality, 
setElimination, 
rename, 
universeEquality
Latex:
\mforall{}[Val:Type].  \mforall{}[n:\mBbbN{}].  \mforall{}[AType:array\{i:l\}(Val;n)].  \mforall{}[i:\mBbbN{}n].  \mforall{}[v:Val].
    (A-assign2(array-model(AType);i;v)  \mmember{}  A-map  Unit)
Date html generated:
2016_05_15-PM-02_20_43
Last ObjectModification:
2015_12_27-AM-08_57_57
Theory : monads
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