Nuprl Lemma : list-eo-property
∀[Info:Type]. ∀L:Info List+. ∀i:Id. ∃e:E. (L = map(λe.info(e);≤loc(e)) ∈ (Info List))
Proof
Definitions occuring in Statement :
list-eo: list-eo(L;i),
es-info: info(e),
es-le-before: ≤loc(e),
es-E: E,
Id: Id,
listp: A List+,
map: map(f;as),
list: T List,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
lambda: λx.A[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
listp: A List+,
top: Top,
nat: ℕ,
ge: i ≥ j ,
decidable: Dec(P),
or: P ∨ Q,
le: A ≤ B,
and: P ∧ Q,
uimplies: b supposing a,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
implies: P ⇒ Q,
not: ¬A,
prop: ℙ,
uiff: uiff(P;Q),
rev_uimplies: rev_uimplies(P;Q),
subtype_rel: A ⊆r B
Latex:
\mforall{}[Info:Type]. \mforall{}L:Info List\msupplus{}. \mforall{}i:Id. \mexists{}e:E. (L = map(\mlambda{}e.info(e);\mleq{}loc(e)))
Date html generated:
2016_05_17-AM-08_24_44
Last ObjectModification:
2016_01_17-PM-02_32_45
Theory : event-ordering
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