Nuprl Lemma : list-eo_wf
∀[Info:Type]. ∀L:Info List+. ∀i:Id. (list-eo(L;i) ∈ EO+(Info))
Proof
Definitions occuring in Statement :
list-eo: list-eo(L;i),
event-ordering+: EO+(Info),
Id: Id,
listp: A List+,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
list-eo: list-eo(L;i),
nat: ℕ,
listp: A List+,
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
le: A ≤ B,
less_than': less_than'(a;b),
false: False,
not: ¬A,
prop: ℙ,
bfalse: ff,
exists: ∃x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
ge: i ≥ j ,
int_upper: {i...},
decidable: Dec(P),
satisfiable_int_formula: satisfiable_int_formula(fmla),
top: Top,
infix_ap: x f y,
squash: ↓T,
nequal: a ≠ b ∈ T ,
cand: A c∧ B,
iff: P ⇐⇒ Q,
rev_uimplies: rev_uimplies(P;Q),
rev_implies: P ⇐ Q
Latex:
\mforall{}[Info:Type]. \mforall{}L:Info List\msupplus{}. \mforall{}i:Id. (list-eo(L;i) \mmember{} EO+(Info))
Date html generated:
2016_05_17-AM-08_20_48
Last ObjectModification:
2016_01_17-PM-02_35_18
Theory : event-ordering
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