Nuprl Lemma : disjoint-classrel-symm
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[es:EO+(Info)].
(disjoint-classrel(es;B;Y;A;X) ⇒ disjoint-classrel(es;A;X;B;Y))
Proof
Definitions occuring in Statement :
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,
universe: Type
Lemmas :
all_wf,
not_wf,
classrel_wf,
es-E_wf,
event-ordering+_subtype,
disjoint-classrel_wf,
event-ordering+_wf,
eclass_wf
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[es:EO+(Info)].
(disjoint-classrel(es;B;Y;A;X) {}\mRightarrow{} disjoint-classrel(es;A;X;B;Y))
Date html generated:
2015_07_17-PM-00_18_47
Last ObjectModification:
2015_01_28-AM-00_04_35
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