Nuprl Lemma : Q-Q-glues-to-self
∀[Info:Type]. ∀es:EO+(Info). ∀[A:Type]. ∀Ia:EClass(A). ∀[Q:E ⟶ E ⟶ ℙ]. λe.e glues Ia:Q ──λe.Ia(e)⟶ Ia:Q
Proof
Definitions occuring in Statement :
Q-R-glues: g glues Ia:Qa ──f⟶ Ib:Rb,
eclass-val: X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
prop: ℙ,
all: ∀x:A. B[x],
lambda: λx.A[x],
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
prop: ℙ,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a,
top: Top,
es-E-interface: E(X),
squash: ↓T,
sq_type: SQType(T),
implies: P ⇒ Q,
guard: {T},
assert: ↑b,
ifthenelse: if b then t else f fi ,
btrue: tt,
true: True,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}[A:Type]. \mforall{}Ia:EClass(A). \mforall{}[Q:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}]. \mlambda{}e.e glues Ia:Q {}{}\mlambda{}e.Ia(e){}\mrightarrow{} Ia:Q
Date html generated:
2016_05_17-AM-08_13_34
Last ObjectModification:
2016_01_17-PM-02_37_35
Theory : event-ordering
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