Nuprl Lemma : eo-forward-first2
∀[Info:Type]. ∀[eo:EO+(Info)]. ∀[e:E]. ∀[e':{e':E| e' ≤loc e } ]. {uiff(↑first(e);e = e' ∈ E)}
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-first: first(e),
es-E: E,
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
guard: {T},
set: {x:A| B[x]} ,
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
guard: {T},
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
prop: ℙ,
subtype_rel: A ⊆r B,
implies: P ⇒ Q,
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
ifthenelse: if b then t else f fi ,
btrue: tt,
iff: P ⇐⇒ Q,
not: ¬A,
rev_implies: P ⇐ Q,
bfalse: ff,
false: False,
top: Top,
sq_stable: SqStable(P),
squash: ↓T,
rev_uimplies: rev_uimplies(P;Q),
bool: 𝔹,
unit: Unit,
it: ⋅
Latex:
\mforall{}[Info:Type]. \mforall{}[eo:EO+(Info)]. \mforall{}[e:E]. \mforall{}[e':\{e':E| e' \mleq{}loc e \} ]. \{uiff(\muparrow{}first(e);e = e')\}
Date html generated:
2016_05_16-PM-01_08_50
Last ObjectModification:
2016_01_17-PM-07_57_48
Theory : event-ordering
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