Nuprl Lemma : simple-loc-comb-2-loc-bounded
∀[Info,A,B,C:Type]. ∀[f:Id ─→ A ─→ B ─→ C]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].
((LocBounded(A;X) ∨ LocBounded(B;Y)) ⇒ LocBounded(C;lifting-loc-2(f) o (Loc,X, Y)))
Proof
Definitions occuring in Statement :
lifting-loc-2: lifting-loc-2(f),
simple-loc-comb-2: F o (Loc,X, Y),
loc-bounded-class: LocBounded(T;X),
eclass: EClass(A[eo; e]),
Id: Id,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
or: P ∨ Q,
function: x:A ─→ B[x],
universe: Type
Lemmas :
simple-loc-comb-2-classrel,
sq_stable__bag-member,
es-loc_wf,
classrel_wf,
simple-loc-comb-2_wf,
lifting-loc-2_wf,
es-E_wf,
event-ordering+_subtype,
all_wf,
bag-member_wf,
or_wf,
loc-bounded-class_wf,
eclass_wf,
event-ordering+_wf,
Id_wf
Latex:
\mforall{}[Info,A,B,C:Type]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} C]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
((LocBounded(A;X) \mvee{} LocBounded(B;Y)) {}\mRightarrow{} LocBounded(C;lifting-loc-2(f) o (Loc,X, Y)))
Date html generated:
2015_07_22-PM-00_09_06
Last ObjectModification:
2015_01_28-AM-11_41_30
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