Nuprl Lemma : es-le-interface-causle
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(Top). ∀e:E. le(X)(e) c≤ e supposing ↑e ∈b le(X)
Proof
Definitions occuring in Statement :
es-le-interface: le(X),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-causle: e c≤ e',
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
uimplies: b supposing a,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
top: Top,
implies: P ⇒ Q,
guard: {T},
es-E-interface: E(X),
prop: ℙ
Latex:
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}e:E. le(X)(e) c\mleq{} e supposing \muparrow{}e \mmember{}\msubb{} le(X)
Date html generated:
2016_05_17-AM-06_51_29
Last ObjectModification:
2015_12_29-AM-00_19_59
Theory : event-ordering
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