Nuprl Lemma : es-interface-predecessors-member
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(Top). ∀e:E(X). (e ∈ ≤(X)(e))
Proof
Definitions occuring in Statement :
es-interface-predecessors: ≤(X)(e),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
l_member: (x ∈ l),
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
universe: Type
Definitions unfolded in proof :
es-interface-predecessors: ≤(X)(e),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
es-E-interface: E(X),
prop: ℙ,
uimplies: b supposing a,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}e:E(X). (e \mmember{} \mleq{}(X)(e))
Date html generated:
2016_05_16-PM-11_02_36
Last ObjectModification:
2015_12_29-AM-10_42_02
Theory : event-ordering
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