Nuprl Lemma : bm_foldli_wf
∀[T,U,Key:Type]. ∀[f:Key ─→ T ─→ U ─→ U]. ∀[m:binary-map(T;Key)]. ∀[init:U]. (bm_foldli(f;init;m) ∈ U)
Proof
Definitions occuring in Statement :
bm_foldli: bm_foldli(f;init;m)
,
binary-map: binary-map(T;Key)
,
uall: ∀[x:A]. B[x]
,
member: t ∈ T
,
function: x:A ─→ B[x]
,
universe: Type
Lemmas :
bm_foldli_aux_wf,
binary-map_wf
\mforall{}[T,U,Key:Type]. \mforall{}[f:Key {}\mrightarrow{} T {}\mrightarrow{} U {}\mrightarrow{} U]. \mforall{}[m:binary-map(T;Key)]. \mforall{}[init:U].
(bm\_foldli(f;init;m) \mmember{} U)
Date html generated:
2015_07_17-AM-08_20_52
Last ObjectModification:
2015_01_27-PM-00_36_34
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