Nuprl Lemma : es-interface-restrict-idempotent
∀[Info,A:Type]. ∀[I:EClass(A)]. ∀[P:es:EO+(Info) ─→ E ─→ ℙ]. ∀[p:∀es:EO+(Info). ∀e:E. Dec(P[es;e])].
(((I|p)|p) = (I|p) ∈ EClass(A))
Proof
Definitions occuring in Statement :
es-interface-restrict: (I|p),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
decidable: Dec(P),
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 :
es-interface-restrict-trivial,
es-interface-restrict_wf,
es-E_wf,
event-ordering+_subtype,
all_wf,
decidable_wf,
empty-bag_wf,
equal_wf,
not_wf,
event-ordering+_wf,
eclass_wf
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)|p) = (I|p))
Date html generated:
2015_07_20-PM-03_30_41
Last ObjectModification:
2015_01_27-PM-10_16_32
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