Nuprl Lemma : local-class-ap-member
∀[Info,A,T:Type]. ∀[X:T ─→ EClass(A)]. ∀[prog:∀x:T. LocalClass(X x)]. ∀[x:T]. (prog x ∈ LocalClass(X x))
Proof
Definitions occuring in Statement :
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
apply: f a,
function: x:A ─→ B[x],
universe: Type
Lemmas :
all_wf,
local-class_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
\mforall{}[Info,A,T:Type]. \mforall{}[X:T {}\mrightarrow{} EClass(A)]. \mforall{}[prog:\mforall{}x:T. LocalClass(X x)]. \mforall{}[x:T].
(prog x \mmember{} LocalClass(X x))
Date html generated:
2015_07_17-PM-00_31_49
Last ObjectModification:
2015_01_27-PM-11_29_38
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