Nuprl Lemma : ranked-eo-first
∀[L,rk:Top]. ∀[e:Id × ℤ]. (first(e) ~ (snd(e) =z 0))
Proof
Definitions occuring in Statement :
ranked-eo: ranked-eo(L;rk),
es-first: first(e),
Id: Id,
eq_int: (i =z j),
uall: ∀[x:A]. B[x],
top: Top,
pi2: snd(t),
product: x:A × B[x],
natural_number: $n,
int: ℤ,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-first: first(e),
pi2: snd(t),
bnot: ¬bb,
ifthenelse: if b then t else f fi ,
btrue: tt,
subtype_rel: A ⊆r B,
top: Top,
pi1: fst(t),
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
bfalse: ff,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
assert: ↑b,
false: False,
not: ¬A,
nequal: a ≠ b ∈ T ,
iff: P ⇐⇒ Q,
satisfiable_int_formula: satisfiable_int_formula(fmla),
rev_implies: P ⇐ Q,
true: True,
cand: A c∧ B
Latex:
\mforall{}[L,rk:Top]. \mforall{}[e:Id \mtimes{} \mBbbZ{}]. (first(e) \msim{} (snd(e) =\msubz{} 0))
Date html generated:
2016_05_17-AM-08_44_33
Last ObjectModification:
2016_01_17-PM-02_40_11
Theory : event-ordering
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