Nuprl Lemma : class-opt-opt
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[b:Id ─→ bag(T)]. (X?b = X?b?b ∈ EClass(T))
Proof
Definitions occuring in Statement :
class-opt: X?b,
eclass: EClass(A[eo; e]),
Id: Id,
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T,
bag: bag(T)
Lemmas :
es-E_wf,
event-ordering+_subtype,
bag-null_wf,
bool_wf,
equal-wf-T-base,
assert_wf,
bag_wf,
es-loc_wf,
bnot_wf,
not_wf,
Id_wf,
eclass_wf,
event-ordering+_wf,
uiff_transitivity,
eqtt_to_assert,
assert-bag-null,
iff_transitivity,
iff_weakening_uiff,
eqff_to_assert,
assert_of_bnot
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[b:Id {}\mrightarrow{} bag(T)]. (X?b = X?b?b)
Date html generated:
2015_07_21-PM-02_42_18
Last ObjectModification:
2015_01_27-PM-09_40_59
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