Nuprl Lemma : classrel-evidence
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:T]. ⋅ ∈ v ∈ X(e) supposing v ∈ X(e)
Proof
Definitions occuring in Statement :
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
it: ⋅,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
classrel: v ∈ X(e),
it: ⋅,
uall: ∀[x:A]. B[x],
member: t ∈ T,
eclass: EClass(A[eo; e]),
uimplies: b supposing a,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
prop: ℙ
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:T]. \mcdot{} \mmember{} v \mmember{} X(e) supposing v \mmember{} X(e)
Date html generated:
2016_05_16-PM-01_35_29
Last ObjectModification:
2015_12_29-PM-02_05_54
Theory : event-ordering
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