Nuprl Lemma : es-init_wf
∀[es:EO]. ∀[e:E]. (es-init(es;e) ∈ E)
Proof
Definitions occuring in Statement :
es-init: es-init(es;e),
es-E: E,
event_ordering: EO,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-init: es-init(es;e),
bfalse: ff,
all: ∀x:A. B[x],
implies: P ⇒ Q,
exposed-bfalse: exposed-bfalse,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
top: Top,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
so_lambda: λ2x.t[x],
so_apply: x[s1;s2],
so_lambda: λ2x y.t[x; y],
p-graph: p-graph(A;f),
cand: A c∧ B,
rel_implies: R1 => R2,
infix_ap: x f y,
do-apply: do-apply(f;x),
can-apply: can-apply(f;x),
isl: isl(x),
outl: outl(x)
Latex:
\mforall{}[es:EO]. \mforall{}[e:E]. (es-init(es;e) \mmember{} E)
Date html generated:
2016_05_16-AM-09_39_17
Last ObjectModification:
2015_12_28-PM-09_44_19
Theory : new!event-ordering
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