Nuprl Lemma : class-at-es-sv
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X:EClass(T)]. ∀[locs:bag(Id)].
es-sv-class(es;X@locs) supposing es-sv-class(es;X)
Proof
Definitions occuring in Statement :
class-at: X@locs,
es-sv-class: es-sv-class(es;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
bag: bag(T)
Definitions unfolded in proof :
class-at: X@locs,
es-sv-class: es-sv-class(es;X),
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
guard: {T},
prop: ℙ,
not: ¬A,
implies: P ⇒ Q,
false: False,
le: A ≤ B,
and: P ∧ Q,
less_than': less_than'(a;b),
eclass: EClass(A[eo; e]),
nat: ℕ,
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
uimplies: b supposing a,
all: ∀x:A. B[x],
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
ifthenelse: if b then t else f fi ,
bfalse: ff,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[locs:bag(Id)].
es-sv-class(es;X@locs) supposing es-sv-class(es;X)
Date html generated:
2016_05_17-AM-09_32_14
Last ObjectModification:
2015_12_29-PM-04_00_44
Theory : classrel!lemmas
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