Nuprl Lemma : local-class-predicate-property
∀[Info,A:Type]. ∀[X:EClass(A)]. ∀[F1,F2:Id ⟶ hdataflow(Info;A)].
(local-class-predicate{i:l}(F2;Info;A;X)) supposing
(local-class-predicate{i:l}(F1;Info;A;X) and
(∀i:Id. (F1[i] = F2[i] ∈ hdataflow(Info;A))))
Proof
Definitions occuring in Statement :
local-class-predicate: local-class-predicate{i:l}(F;Info;A;X),
eclass: EClass(A[eo; e]),
hdataflow: hdataflow(A;B),
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
all: ∀x:A. B[x],
function: x:A ⟶ B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
local-class-predicate: local-class-predicate{i:l}(F;Info;A;X),
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
so_apply: x[s],
prop: ℙ,
implies: P ⇒ Q,
so_lambda: λ2x.t[x],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[F1,F2:Id {}\mrightarrow{} hdataflow(Info;A)].
(local-class-predicate\{i:l\}(F2;Info;A;X)) supposing
(local-class-predicate\{i:l\}(F1;Info;A;X) and
(\mforall{}i:Id. (F1[i] = F2[i])))
Date html generated:
2016_05_16-PM-02_04_39
Last ObjectModification:
2015_12_29-PM-02_24_45
Theory : event-ordering
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