Nuprl Lemma : es-interval-is-nil
∀[es:EO]. ∀[e,e':E]. ([e, e'] ~ []) supposing ((e' <loc e) and (loc(e) = loc(e') ∈ Id))
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-locl: (e <loc e'),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
nil: [],
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
sqequal: s ~ t,
equal: s = t ∈ T
Definitions unfolded in proof :
member: t ∈ T,
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
prop: ℙ,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
or: P ∨ Q,
cons: [a / b],
top: Top,
subtype_rel: A ⊆r B,
not: ¬A,
false: False
Latex:
\mforall{}[es:EO]. \mforall{}[e,e':E]. ([e, e'] \msim{} []) supposing ((e' <loc e) and (loc(e) = loc(e')))
Date html generated:
2016_05_16-AM-09_32_40
Last ObjectModification:
2015_12_28-PM-09_47_26
Theory : new!event-ordering
Home
Index