Nuprl Lemma : bm_cnt_prop0_wf
∀[T,Key:Type]. ∀[m:binary_map(T;Key)].  (bm_cnt_prop0(m) ∈ ℤ × 𝔹)
Proof
Definitions occuring in Statement : 
bm_cnt_prop0: bm_cnt_prop0(m)
, 
binary_map: binary_map(T;Key)
, 
bool: 𝔹
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
product: x:A × B[x]
, 
int: ℤ
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
bm_cnt_prop0: bm_cnt_prop0(m)
, 
so_lambda: so_lambda(x,y,z,u,v,w,q.t[x;y;z;u;v;w;q])
, 
pi1: fst(t)
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
bool: 𝔹
, 
unit: Unit
, 
it: ⋅
, 
btrue: tt
, 
band: p ∧b q
, 
ifthenelse: if b then t else f fi 
, 
uiff: uiff(P;Q)
, 
and: P ∧ Q
, 
uimplies: b supposing a
, 
pi2: snd(t)
, 
bfalse: ff
, 
so_apply: x[a;b;c;d;e;f;g]
Latex:
\mforall{}[T,Key:Type].  \mforall{}[m:binary\_map(T;Key)].    (bm\_cnt\_prop0(m)  \mmember{}  \mBbbZ{}  \mtimes{}  \mBbbB{})
Date html generated:
2016_05_17-PM-01_38_04
Last ObjectModification:
2015_12_28-PM-08_10_50
Theory : binary-map
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