Nuprl Lemma : es-init-le
∀es:EO. ∀e:E. (es-init(es;e) ≤loc e ⇐⇒ True)
Proof
Definitions occuring in Statement :
es-init: es-init(es;e),
es-le: e ≤loc e' ,
es-E: E,
event_ordering: EO,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
true: True
Definitions unfolded in proof :
member: t ∈ T,
uall: ∀[x:A]. B[x],
es-init: es-init(es;e),
final-iterate: final-iterate(f;x),
do-apply: do-apply(f;x),
can-apply: can-apply(f;x),
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
ifthenelse: if b then t else f fi ,
bfalse: ff,
isl: isl(x),
outl: outl(x),
iff: P ⇐⇒ Q,
true: True,
prop: ℙ,
rev_implies: P ⇐ Q,
exists: ∃x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
so_lambda: λ2x.t[x],
so_apply: x[s],
wellfounded: WellFnd{i}(A;x,y.R[x; y])
Latex:
\mforall{}es:EO. \mforall{}e:E. (es-init(es;e) \mleq{}loc e \mLeftarrow{}{}\mRightarrow{} True)
Date html generated:
2016_05_16-AM-09_39_24
Last ObjectModification:
2015_12_28-PM-09_43_12
Theory : new!event-ordering
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