Nuprl Lemma : bind-return-right
∀[Info,T:Type]. ∀[X:EClass(T)]. (X >x> return-class(x) = X ∈ EClass(T))
Proof
Definitions occuring in Statement :
return-class: return-class(x),
bind-class: X >x> Y[x],
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf,
es-before_wf3,
list-subtype-bag,
es-locl_wf,
bag_wf,
bag-combine-append-left,
es-le_wf,
subtype_rel_bag,
subtype_rel_sets,
es-le_weakening,
single-bag_wf,
es-le-self,
bag-combine_wf,
es-first_wf2,
eo-forward_wf,
member-eo-forward-E,
equal_wf,
Id_wf,
es-loc_wf,
bool_wf,
eqtt_to_assert,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
empty-bag_wf,
iff_weakening_equal,
bag-empty-append,
bag-append_wf,
squash_wf,
true_wf,
bag-combine-empty-right,
eo-forward-not-first,
ite_rw_false,
bfalse_wf,
assert_of_ff,
bag-combine-single-left,
and_wf,
eo-forward-first-trivial,
bag-combine-single-right
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. (X >x> return-class(x) = X)
Date html generated:
2015_07_17-PM-00_43_39
Last ObjectModification:
2015_02_04-PM-05_32_07
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