Nuprl Lemma : Q-R-glues_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[Qa,Rb:E ─→ E ─→ ℙ]. ∀[A,B:Type]. ∀[Ia:EClass(A)]. ∀[Ib:EClass(B)]. ∀[f:E(Ia) ─→ B].
∀[g:E(Ib) ─→ E].
(g glues Ia:Qa ──f─→ Ib:Rb ∈ ℙ)
Proof
Definitions occuring in Statement :
Q-R-glues: g glues Ia:Qa ──f─→ Ib:Rb,
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
weak-antecedent-surjection_wf,
es-interface-predicate_wf,
interface_predicate_set_lemma,
Q-R-pre-preserving_wf,
inject_wf,
es-E_wf,
all_wf,
equal_wf,
eclass-val_wf,
event-ordering+_subtype,
assert_elim,
in-eclass_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
es-E-interface_wf,
es-interface-subtype_rel2,
event-ordering+_wf,
top_wf,
eclass_wf,
es-E-interface-property,
assert_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:E(Ia) {}\mrightarrow{} B]. \mforall{}[g:E(Ib) {}\mrightarrow{} E].
(g glues Ia:Qa {}{}f{}\mrightarrow{} Ib:Rb \mmember{} \mBbbP{})
Date html generated:
2015_07_21-PM-04_07_51
Last ObjectModification:
2015_01_27-PM-05_43_04
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