Nuprl Lemma : no-prior-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X:EClass(T)]. ∀[e:E].
uiff(¬↑e ∈b (X)';∀[e':E]. ¬↑e' ∈b X supposing (e' <loc e))
Proof
Definitions occuring in Statement :
es-prior-val: (X)',
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
assert: ↑b,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
universe: Type
Definitions unfolded in proof :
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
member: t ∈ T,
uall: ∀[x:A]. B[x],
not: ¬A,
implies: P ⇒ Q,
false: False,
exists: ∃x:A. B[x],
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
top: Top
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[e:E].
uiff(\mneg{}\muparrow{}e \mmember{}\msubb{} (X)';\mforall{}[e':E]. \mneg{}\muparrow{}e' \mmember{}\msubb{} X supposing (e' <loc e))
Date html generated:
2016_05_17-AM-06_33_31
Last ObjectModification:
2015_12_29-AM-00_34_13
Theory : event-ordering
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