Nuprl Lemma : eclass-disju-program_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[xpr:LocalClass(X)]. ∀[ypr:LocalClass(Y)].
(xpr + ypr ∈ LocalClass(X + Y)) supposing (valueall-type(A) and valueall-type(B))
Proof
Definitions occuring in Statement :
eclass-disju-program: xpr + ypr,
eclass-disju: X + Y,
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
union: left + right,
universe: Type
Lemmas :
parallel-class-program_wf,
union-valueall-type,
eclass1_wf,
Id_wf,
eclass1-program_wf,
valueall-type_wf,
local-class_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[xpr:LocalClass(X)]. \mforall{}[ypr:LocalClass(Y)].
(xpr + ypr \mmember{} LocalClass(X + Y)) supposing (valueall-type(A) and valueall-type(B))
Date html generated:
2015_07_22-PM-00_04_11
Last ObjectModification:
2015_01_28-AM-09_52_38
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