Nuprl Lemma : mk-map-int-decr_wf
∀[Value:Type]. (mk-map-int-decr(Value) ∈ map-sig{i:l}(ℤ;Value))
Proof
Definitions occuring in Statement : 
mk-map-int-decr: mk-map-int-decr(Value)
, 
map-sig: map-sig{i:l}(Key;Value)
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
int: ℤ
, 
universe: Type
Definitions unfolded in proof : 
mk-map-int-decr: mk-map-int-decr(Value)
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
uimplies: b supposing a
, 
int-decr-map-type: int-decr-map-type(Value)
, 
so_lambda: λ2x.t[x]
, 
so_lambda: λ2x y.t[x; y]
, 
pi1: fst(t)
, 
so_apply: x[s1;s2]
, 
so_apply: x[s]
, 
implies: P 
⇒ Q
, 
all: ∀x:A. B[x]
, 
valueall-type: valueall-type(T)
, 
has-value: (a)↓
, 
prop: ℙ
, 
deq: EqDecider(T)
, 
iff: P 
⇐⇒ Q
, 
and: P ∧ Q
, 
uiff: uiff(P;Q)
, 
rev_uimplies: rev_uimplies(P;Q)
, 
rev_implies: P 
⇐ Q
, 
isl: isl(x)
, 
int-decr-map-find: int-decr-map-find(k;m)
, 
find-combine: find-combine(cmp;l)
, 
list_ind: list_ind, 
int-decr-map-inDom: int-decr-map-inDom(k;m)
, 
subtype_rel: A ⊆r B
, 
top: Top
, 
not: ¬A
, 
false: False
, 
bool: 𝔹
, 
unit: Unit
, 
it: ⋅
, 
btrue: tt
, 
ifthenelse: if b then t else f fi 
, 
bfalse: ff
, 
exists: ∃x:A. B[x]
, 
or: P ∨ Q
, 
sq_type: SQType(T)
, 
guard: {T}
, 
bnot: ¬bb
, 
assert: ↑b
, 
band: p ∧b q
, 
exposed-bfalse: exposed-bfalse
Latex:
\mforall{}[Value:Type].  (mk-map-int-decr(Value)  \mmember{}  map-sig\{i:l\}(\mBbbZ{};Value))
Date html generated:
2016_05_17-PM-01_50_31
Last ObjectModification:
2016_01_08-AM-00_26_31
Theory : datatype-signatures
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