Nuprl Lemma : es-p-le_weakening
∀es:EO. ∀p:E ⟶ (E + Top). ∀e,e':E. (e p< e'
⇒ e p≤ e')
Proof
Definitions occuring in Statement :
es-p-le: e p≤ e'
,
es-p-locl: e p< e'
,
es-E: E
,
event_ordering: EO
,
top: Top
,
all: ∀x:A. B[x]
,
implies: P
⇒ Q
,
function: x:A ⟶ B[x]
,
union: left + right
Definitions unfolded in proof :
es-p-le: e p≤ e'
,
all: ∀x:A. B[x]
,
implies: P
⇒ Q
,
or: P ∨ Q
,
member: t ∈ T
,
prop: ℙ
,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}es:EO. \mforall{}p:E {}\mrightarrow{} (E + Top). \mforall{}e,e':E. (e p< e' {}\mRightarrow{} e p\mleq{} e')
Date html generated:
2016_05_16-AM-10_30_38
Last ObjectModification:
2015_12_28-PM-09_15_14
Theory : new!event-ordering
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