Nuprl Lemma : es-blocl-iff
∀es:EO. ∀e1,e2:E. (↑es-blocl(es;e1;e2) ⇐⇒ (e1 <loc e2))
Proof
Definitions occuring in Statement :
es-blocl: es-blocl(es;e1;e2),
es-locl: (e <loc e'),
es-E: E,
event_ordering: EO,
assert: ↑b,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
member: t ∈ T,
prop: ℙ,
uall: ∀[x:A]. B[x],
rev_implies: P ⇐ Q,
es-blocl: es-blocl(es;e1;e2),
uiff: uiff(P;Q),
uimplies: b supposing a,
es-locl: (e <loc e'),
es-E: E,
es-base-E: es-base-E(es),
cand: A c∧ B
Latex:
\mforall{}es:EO. \mforall{}e1,e2:E. (\muparrow{}es-blocl(es;e1;e2) \mLeftarrow{}{}\mRightarrow{} (e1 <loc e2))
Date html generated:
2016_05_16-AM-09_17_54
Last ObjectModification:
2015_12_28-PM-09_56_21
Theory : new!event-ordering
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