Nuprl Lemma : Q-Q-glued-self-image
∀[Info:Type]. ∀es:EO+(Info). ∀[A,B:Type]. ∀Ia:EClass(A). ∀f:A ⟶ B. ∀[Q:E ⟶ E ⟶ ℙ]. Ia:Q →─λe.(f Ia(e))⟶ f'Ia:Q
Proof
Definitions occuring in Statement :
Q-R-glued: Ia:Qa →─f⟶ Ib:Rb,
es-interface-image: f'Ia,
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],
apply: f a,
lambda: λx.A[x],
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
so_apply: x[s1;s2],
so_lambda: λ2x y.t[x; y],
prop: ℙ,
subtype_rel: A ⊆r B,
member: t ∈ T,
Q-R-glued: Ia:Qa →─f⟶ Ib:Rb,
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
true: True,
btrue: tt,
ifthenelse: if b then t else f fi ,
assert: ↑b,
guard: {T},
implies: P ⇒ Q,
sq_type: SQType(T),
top: Top,
uimplies: b supposing a,
so_apply: x[s],
so_lambda: λ2x.t[x],
es-E-interface: E(X),
exists: ∃x:A. B[x]
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info)
\mforall{}[A,B:Type]. \mforall{}Ia:EClass(A). \mforall{}f:A {}\mrightarrow{} B. \mforall{}[Q:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}]. Ia:Q \mrightarrow{}{}\mlambda{}e.(f Ia(e)){}\mrightarrow{} f'Ia:Q
Date html generated:
2016_05_17-AM-07_55_33
Last ObjectModification:
2015_12_28-PM-11_24_29
Theory : event-ordering
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