Nuprl Lemma : is-interface-buffer
∀[Info,A1:Type]. ∀[es:EO+(Info)]. ∀[n:ℕ]. ∀[X:EClass(A1)]. ∀[e:E]. uiff(↑e ∈b Buffer(n;X);↑e ∈b X)
Proof
Definitions occuring in Statement :
es-interface-buffer: Buffer(n;X),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
nat: ℕ,
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
in-eclass: e ∈b X,
es-interface-buffer: Buffer(n;X),
member: t ∈ T,
uall: ∀[x:A]. B[x],
eclass: EClass(A[eo; e]),
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,
uimplies: b supposing a,
nat: ℕ,
ifthenelse: if b then t else f fi ,
assert: ↑b,
top: Top,
eq_int: (i =z j),
true: True,
prop: ℙ,
bfalse: ff,
exists: ∃x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
false: False,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A1:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[n:\mBbbN{}]. \mforall{}[X:EClass(A1)]. \mforall{}[e:E]. uiff(\muparrow{}e \mmember{}\msubb{} Buffer(n;X);\muparrow{}e \mmember{}\msubb{} X)
Date html generated:
2016_05_17-AM-07_22_18
Last ObjectModification:
2015_12_28-PM-11_54_17
Theory : event-ordering
Home
Index