Nuprl Lemma : skip-first-class-is-empty-if-first
∀[Info,A:Type]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[X:EClass(A)]. Skip(X) es e ~ {} supposing ↑first(e)
Proof
Definitions occuring in Statement :
skip-first-class: Skip(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-first: first(e),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
apply: f a,
universe: Type,
sqequal: s ~ t,
empty-bag: {}
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
skip-first-class: Skip(X),
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
ifthenelse: if b then t else f fi ,
bfalse: ff,
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 y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[X:EClass(A)]. Skip(X) es e \msim{} \{\} supposing \muparrow{}first(e)
Date html generated:
2016_05_16-PM-11_26_28
Last ObjectModification:
2015_12_29-AM-10_22_36
Theory : event-ordering
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