Nuprl Lemma : iseg-es-embedding
∀[Info:Type]. ∀L1,L2:(Id × Info) List. (L1 ≤ L2 ⇒ (λx.x embeds global-eo(L1) into global-eo(L2)))
Proof
Definitions occuring in Statement :
global-eo: global-eo(L),
es-embedding: (f embeds eo1 into eo2),
Id: Id,
iseg: l1 ≤ l2,
list: T List,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
lambda: λx.A[x],
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
implies: P ⇒ Q,
uimplies: b supposing a,
es-embedding: (f embeds eo1 into eo2),
and: P ∧ Q,
prop: ℙ,
subtype_rel: A ⊆r B,
es-local-embedding: es-local-embedding(Info;eo1;eo2;f),
es-causl: (e < e'),
squash: ↓T,
cand: A c∧ B,
listp: A List+,
guard: {T},
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
top: Top,
int_seg: {i..j-},
lelt: i ≤ j < k,
decidable: Dec(P),
or: P ∨ Q,
less_than: a < b,
le: A ≤ B,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
not: ¬A,
true: True
Latex:
\mforall{}[Info:Type]. \mforall{}L1,L2:(Id \mtimes{} Info) List. (L1 \mleq{} L2 {}\mRightarrow{} (\mlambda{}x.x embeds global-eo(L1) into global-eo(L2)))
Date html generated:
2016_05_17-AM-08_33_33
Last ObjectModification:
2016_01_17-PM-02_29_18
Theory : event-ordering
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