Nuprl Lemma : es-interface-conditional-domain
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[X,Y:EClass(A)]. ∀[e:E]. e ∈b [X?Y] = e ∈b X ∨be ∈b Y
Proof
Definitions occuring in Statement :
cond-class: [X?Y],
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
bor: p ∨bq,
bool: 𝔹,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
eq_int_wf,
bag-size_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
nat_wf,
eq_int_eq_true,
btrue_wf,
iff_weakening_equal,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[X,Y:EClass(A)]. \mforall{}[e:E]. e \mmember{}\msubb{} [X?Y] = e \mmember{}\msubb{} X \mvee{}\msubb{}e \mmember{}\msubb{} Y
Date html generated:
2015_07_17-PM-00_51_19
Last ObjectModification:
2015_02_04-PM-05_29_36
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