Nuprl Lemma : iseg-implies-global-order-iseg
∀[Info:Type]. ∀L1,L2:(Id × Info) List. (L1 ≤ L2 ⇒ L1 ≤ L2, locally)
Proof
Definitions occuring in Statement :
global-order-iseg: L1 ≤ L2, locally,
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
Definitions unfolded in proof :
prop: ℙ,
top: Top,
uimplies: b supposing a,
so_apply: x[s],
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
member: t ∈ T,
global-order-iseg: L1 ≤ L2, locally,
implies: P ⇒ Q,
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x]
Latex:
\mforall{}[Info:Type]. \mforall{}L1,L2:(Id \mtimes{} Info) List. (L1 \mleq{} L2 {}\mRightarrow{} L1 \mleq{} L2, locally)
Date html generated:
2016_05_17-AM-08_32_16
Last ObjectModification:
2015_12_28-PM-10_56_09
Theory : event-ordering
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