Nuprl Lemma : eclass1-disjoint-classrel
∀[Info,A,B,C:Type]. ∀[Y:EClass(A)]. ∀[X:EClass(B)]. ∀[f:Id ─→ B ─→ C]. ∀[es:EO+(Info)].
(disjoint-classrel(es;B;X;A;Y) ⇒ disjoint-classrel(es;C;(f o X);A;Y))
Proof
Definitions occuring in Statement :
eclass1: (f o X),
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
universe: Type
Lemmas :
eclass1-classrel,
all_wf,
not_wf,
classrel_wf,
eclass1_wf,
es-E_wf,
event-ordering+_subtype,
disjoint-classrel_wf,
event-ordering+_wf,
Id_wf,
eclass_wf
\mforall{}[Info,A,B,C:Type]. \mforall{}[Y:EClass(A)]. \mforall{}[X:EClass(B)]. \mforall{}[f:Id {}\mrightarrow{} B {}\mrightarrow{} C]. \mforall{}[es:EO+(Info)].
(disjoint-classrel(es;B;X;A;Y) {}\mRightarrow{} disjoint-classrel(es;C;(f o X);A;Y))
Date html generated:
2015_07_17-PM-00_36_21
Last ObjectModification:
2015_01_27-PM-11_30_04
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