Nuprl Lemma : eclass2-program-eq-hdf
∀[Info,B,C:Type].
∀[Xpr1,Xpr2:Id ⟶ hdataflow(Info;B ⟶ bag(C))]. ∀[Ypr1,Ypr2:Id ⟶ hdataflow(Info;B)].
(Xpr1 o Ypr1 = Xpr2 o Ypr2 ∈ (Id ⟶ hdataflow(Info;C))) supposing
((Xpr1 = Xpr2 ∈ (Id ⟶ hdataflow(Info;B ⟶ bag(C)))) and
(Ypr1 = Ypr2 ∈ (Id ⟶ hdataflow(Info;B))))
supposing valueall-type(C)
Proof
Definitions occuring in Statement :
eclass2-program: Xpr o Ypr,
hdataflow: hdataflow(A;B),
Id: Id,
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type,
equal: s = t ∈ T,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
eclass2-program: Xpr o Ypr,
squash: ↓T,
prop: ℙ
Latex:
\mforall{}[Info,B,C:Type].
\mforall{}[Xpr1,Xpr2:Id {}\mrightarrow{} hdataflow(Info;B {}\mrightarrow{} bag(C))]. \mforall{}[Ypr1,Ypr2:Id {}\mrightarrow{} hdataflow(Info;B)].
(Xpr1 o Ypr1 = Xpr2 o Ypr2) supposing ((Xpr1 = Xpr2) and (Ypr1 = Ypr2))
supposing valueall-type(C)
Date html generated:
2016_05_17-AM-09_04_54
Last ObjectModification:
2016_01_17-PM-09_14_13
Theory : local!classes
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