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
Lemmas :
es-E-interface_wf,
es-interface-image_wf,
top_wf,
Q-Q-glues-to-self-image,
subtype_rel_dep_function,
es-E_wf,
event-ordering+_subtype,
es-interface-subtype_rel2,
event-ordering+_wf,
subtype_rel_self,
Q-R-glues_wf,
eclass-val_wf,
assert_elim,
in-eclass_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base
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:
2015_07_21-PM-04_12_18
Last ObjectModification:
2015_01_27-PM-05_40_02
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