Nuprl Lemma : eclass3-single-val
∀[Info,B,C:Type]. ∀[X:EClass(B ─→ C)]. ∀[Y:EClass(B)]. ∀[es:EO+(Info)].
(single-valued-classrel(es;eclass3(X;Y);C)) supposing
(single-valued-classrel(es;X;B ─→ C) and
single-valued-classrel(es;Y;B))
Proof
Definitions occuring in Statement :
eclass3: eclass3(X;Y),
single-valued-classrel: single-valued-classrel(es;X;T),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
eclass3-classrel,
equal_wf,
classrel_wf,
eclass3_wf,
es-E_wf,
event-ordering+_subtype,
single-valued-classrel_wf,
event-ordering+_wf,
eclass_wf
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B {}\mrightarrow{} C)]. \mforall{}[Y:EClass(B)]. \mforall{}[es:EO+(Info)].
(single-valued-classrel(es;eclass3(X;Y);C)) supposing
(single-valued-classrel(es;X;B {}\mrightarrow{} C) and
single-valued-classrel(es;Y;B))
Date html generated:
2015_07_17-PM-00_37_39
Last ObjectModification:
2015_01_27-PM-11_16_29
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