Nuprl Lemma : parallel-class-loc-bounded
∀[T,Info:Type]. ∀[X,Y:EClass(T)]. (LocBounded(T;X) ⇒ LocBounded(T;Y) ⇒ LocBounded(T;X || Y))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
loc-bounded-class: LocBounded(T;X),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
loc-bounded-class: LocBounded(T;X),
exists: ∃x:A. B[x],
class-loc-bound: class-loc-bound{i:l}(Info;T;X;L),
member: t ∈ T,
all: ∀x:A. B[x],
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
sq_or: a ↓∨ b,
squash: ↓T,
subtype_rel: A ⊆r B,
sq_stable: SqStable(P),
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
or: P ∨ Q,
prop: ℙ,
guard: {T},
bag-member: x ↓∈ bs,
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[T,Info:Type]. \mforall{}[X,Y:EClass(T)]. (LocBounded(T;X) {}\mRightarrow{} LocBounded(T;Y) {}\mRightarrow{} LocBounded(T;X || Y))
Date html generated:
2016_05_16-PM-02_30_54
Last ObjectModification:
2016_01_17-PM-07_31_37
Theory : event-ordering
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