Nuprl Lemma : Q-R-glues-empty
∀[Info:Type]
∀es:EO+(Info)
∀[Qa,Rb:E ─→ E ─→ ℙ]. ∀[A,B:Type].
∀Ia:EClass(A). ∀Ib:EClass(B). ∀f,g:Top.
(g glues Ia:Qa ──f─→ Ib:Rb) supposing (es-interface-empty(es;Ib) and es-interface-empty(es;Ia))
Proof
Definitions occuring in Statement :
Q-R-glues: g glues Ia:Qa ──f─→ Ib:Rb,
es-interface-empty: es-interface-empty(es;I),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
prop: ℙ,
all: ∀x:A. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
assert_wf,
in-eclass_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
set_wf,
all_wf,
not_wf,
top_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info)
\mforall{}[Qa,Rb:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}]. \mforall{}[A,B:Type].
\mforall{}Ia:EClass(A). \mforall{}Ib:EClass(B). \mforall{}f,g:Top.
(g glues Ia:Qa {}{}f{}\mrightarrow{} Ib:Rb) supposing
(es-interface-empty(es;Ib) and
es-interface-empty(es;Ia))
Date html generated:
2015_07_21-PM-04_08_42
Last ObjectModification:
2015_01_27-PM-05_41_42
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