Nuprl Lemma : eclass3-total
∀[Info,B,C:Type]. ∀[X:EClass(B ─→ C)]. ∀[Y:EClass(B)]. ∀[es:EO+(Info)].
(es-total-class(es;eclass3(X;Y))) supposing (es-total-class(es;X) and es-total-class(es;Y))
Proof
Definitions occuring in Statement :
eclass3: eclass3(X;Y),
es-total-class: es-total-class(es;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
member-eclass-iff-size1,
eclass3_wf,
eclass3-member,
es-E_wf,
event-ordering+_subtype,
less_than_wf,
bag-size_wf,
class-ap_wf,
nat_wf,
es-total-class_wf,
event-ordering+_wf,
eclass_wf
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B {}\mrightarrow{} C)]. \mforall{}[Y:EClass(B)]. \mforall{}[es:EO+(Info)].
(es-total-class(es;eclass3(X;Y))) supposing (es-total-class(es;X) and es-total-class(es;Y))
Date html generated:
2015_07_17-PM-00_37_54
Last ObjectModification:
2015_01_27-PM-11_14_01
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