Nuprl Lemma : simple-comb-1-disjoint-classrel
∀[Info,T,A,B:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[f:A ─→ T].
(disjoint-classrel(es;A;X;B;Y) ⇒ disjoint-classrel(es;T;lifting-1(f)|X|;B;Y))
Proof
Definitions occuring in Statement :
simple-comb-1: F|X|,
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
universe: Type,
lifting-1: lifting-1(f)
Lemmas :
simple-comb-1-classrel,
all_wf,
not_wf,
classrel_wf,
simple-comb-1_wf,
lifting-1_wf,
es-E_wf,
event-ordering+_subtype,
disjoint-classrel_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,T,A,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[f:A {}\mrightarrow{} T].
(disjoint-classrel(es;A;X;B;Y) {}\mRightarrow{} disjoint-classrel(es;T;lifting-1(f)|X|;B;Y))
Date html generated:
2015_07_22-PM-00_19_09
Last ObjectModification:
2015_01_28-AM-10_43_26
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