Nuprl Lemma : es-locally-ordered_wf
∀[es:EO]. ∀[L:E List]. (es-locally-ordered(es;L) ∈ ℙ)
Proof
Definitions occuring in Statement :
es-locally-ordered: es-locally-ordered(es;L),
es-E: E,
event_ordering: EO,
list: T List,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-locally-ordered: es-locally-ordered(es;L),
subtype_rel: A ⊆r B,
prop: ℙ,
so_lambda: so_lambda(x,y,z.t[x; y; z]),
all: ∀x:A. B[x],
or: P ∨ Q,
ifthenelse: if b then t else f fi ,
btrue: tt,
cons: [a / b],
top: Top,
bfalse: ff,
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
ge: i ≥ j ,
decidable: Dec(P),
false: False,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
not: ¬A,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
so_apply: x[s1;s2;s3]
Latex:
\mforall{}[es:EO]. \mforall{}[L:E List]. (es-locally-ordered(es;L) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-AM-09_21_19
Last ObjectModification:
2016_01_17-PM-01_30_36
Theory : new!event-ordering
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