Nuprl Lemma : iseg-global-order-loc
∀[Info:Type]. ∀L1,L2:(Id × Info) List. (L1 ≤ L2 ⇒ (∀e:E. (loc(e) = loc(e) ∈ Id)))
Proof
Definitions occuring in Statement :
global-eo: global-eo(L),
es-loc: loc(e),
es-E: E,
Id: Id,
iseg: l1 ≤ l2,
list: T List,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
product: x:A × B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
member: t ∈ T,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
prop: ℙ,
top: Top,
squash: ↓T,
true: True,
so_lambda: λ2x.t[x],
so_apply: x[s],
iff: P ⇐⇒ Q,
and: P ∧ Q,
cand: A c∧ B,
le: A ≤ B,
less_than': less_than'(a;b),
false: False,
not: ¬A,
guard: {T},
int_seg: {i..j-},
lelt: i ≤ j < k,
decidable: Dec(P),
or: P ∨ Q,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
iseg: l1 ≤ l2
Latex:
\mforall{}[Info:Type]. \mforall{}L1,L2:(Id \mtimes{} Info) List. (L1 \mleq{} L2 {}\mRightarrow{} (\mforall{}e:E. (loc(e) = loc(e))))
Date html generated:
2016_05_17-AM-08_32_38
Last ObjectModification:
2016_01_17-PM-02_28_28
Theory : event-ordering
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