Nuprl Lemma : es-interface-restrict-conditional
∀[Info,A:Type]. ∀[I:EClass(A)]. ∀[P:es:EO+(Info) ─→ E ─→ ℙ]. ∀[p:∀es:EO+(Info). ∀e:E. Dec(P[es;e])].
[(I|p)?(I|¬p)] = I ∈ EClass(A) supposing Singlevalued(I)
Proof
Definitions occuring in Statement :
es-interface-co-restrict: (I|¬p),
es-interface-restrict: (I|p),
cond-class: [X?Y],
sv-class: Singlevalued(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
decidable: Dec(P),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s1;s2],
all: ∀x:A. B[x],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
all_wf,
es-E_wf,
event-ordering+_subtype,
decidable_wf,
bag_size_empty_lemma,
equal_wf,
sv-class_wf,
event-ordering+_wf,
eclass_wf,
sv-class-iff
Latex:
\mforall{}[Info,A:Type]. \mforall{}[I:EClass(A)]. \mforall{}[P:es:EO+(Info) {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}].
\mforall{}[p:\mforall{}es:EO+(Info). \mforall{}e:E. Dec(P[es;e])].
[(I|p)?(I|\mneg{}p)] = I supposing Singlevalued(I)
Date html generated:
2015_07_20-PM-03_32_32
Last ObjectModification:
2015_01_27-PM-10_17_34
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