Nuprl Lemma : member-eclass-eclass1
∀[Info,B,C:Type]. ∀[X:EClass(B)]. ∀[f:Id ─→ B ─→ C]. ∀[es:EO]. ∀[e:E]. (e ∈b (f o X) ~ e ∈b X)
Proof
Definitions occuring in Statement :
eclass1: (f o X),
member-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
es-E: E,
event_ordering: EO,
Id: Id,
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type,
sqequal: s ~ t
Lemmas :
bag-size-map,
es-E_wf,
event_ordering_wf,
Id_wf,
eclass_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B)]. \mforall{}[f:Id {}\mrightarrow{} B {}\mrightarrow{} C]. \mforall{}[es:EO]. \mforall{}[e:E]. (e \mmember{}\msubb{} (f o X) \msim{} e \mmember{}\msubb{} X)
Date html generated:
2015_07_23-AM-11_28_15
Last ObjectModification:
2015_01_28-PM-11_12_42
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