Nuprl Lemma : bm_exists_wf
∀[T,Key:Type]. ∀[m:binary-map(T;Key)]. ∀[p:T ⟶ 𝔹]. (bm_exists(m;p) ∈ 𝔹)
Proof
Definitions occuring in Statement :
bm_exists: bm_exists(m;p),
binary-map: binary-map(T;Key),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bm_exists: bm_exists(m;p),
binary-map: binary-map(T;Key),
so_lambda: so_lambda(x,y,z,u,v,w,q.t[x;y;z;u;v;w;q]),
so_apply: x[s],
so_apply: x[a;b;c;d;e;f;g]
Latex:
\mforall{}[T,Key:Type]. \mforall{}[m:binary-map(T;Key)]. \mforall{}[p:T {}\mrightarrow{} \mBbbB{}]. (bm\_exists(m;p) \mmember{} \mBbbB{})
Date html generated:
2016_05_17-PM-01_41_58
Last ObjectModification:
2015_12_28-PM-08_08_30
Theory : binary-map
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