Nuprl Lemma : es-interface-filter_wf
∀[Info,A:Type]. ∀[X:EClass(A)]. ∀[P:A ─→ 𝔹]. (X|a.P[a] ∈ EClass({a:A| ↑P[a]} ))
Proof
Definitions occuring in Statement :
es-interface-filter: X|a.P[a],
eclass: EClass(A[eo; e]),
assert: ↑b,
bool: 𝔹,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
universe: Type
Lemmas :
eq_int_wf,
bag-size_wf,
nat_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
bag-filter_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
empty-bag_wf,
assert_wf,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[P:A {}\mrightarrow{} \mBbbB{}]. (X|a.P[a] \mmember{} EClass(\{a:A| \muparrow{}P[a]\} ))
Date html generated:
2015_07_20-PM-03_33_02
Last ObjectModification:
2015_01_27-PM-10_14_47
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