Nuprl Lemma : bind-class-assoc
∀[Info,T,S,U:Type]. ∀[X:EClass(T)]. ∀[Y:T ─→ EClass(S)]. ∀[Z:S ─→ EClass(U)].
(X >x> Y[x] >y> Z[y] = X >x> Y[x] >y> Z[y] ∈ EClass(U))
Proof
Definitions occuring in Statement :
bind-class: X >x> Y[x],
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
so_apply: x[s],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
bag-combine_wf,
squash_wf,
true_wf,
bag_wf,
set_wf,
es-E_wf,
event-ordering+_subtype,
es-le_wf,
bag-combine-assoc,
es-le-before_wf,
list-subtype-bag,
Id_wf,
es-loc_wf,
top_wf,
subtype_top,
list_set_type,
es-le-before_wf2,
subtype_rel_list,
l_all_iff,
l_member_wf,
member-es-le-before,
l_member-settype,
equal_wf,
subtype_rel_self,
eo-forward_wf,
member-eo-forward-E,
subtype_rel_bag,
event-ordering+_wf,
eo-forward-forward,
iff_weakening_equal,
eo-forward-le2,
bag-combine-filter,
es-ble_wf,
bool_wf,
eqtt_to_assert,
assert-es-ble,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
empty-bag_wf,
assert_wf,
decidable__es-le,
es-le-before-filter,
equal_functionality_wrt_subtype_rel2,
list_wf,
es-le_transitivity,
bag-combine-com,
eo-forward-le-before,
list-equal-set,
member_filter
\mforall{}[Info,T,S,U:Type]. \mforall{}[X:EClass(T)]. \mforall{}[Y:T {}\mrightarrow{} EClass(S)]. \mforall{}[Z:S {}\mrightarrow{} EClass(U)].
(X >x> Y[x] >y> Z[y] = X >x> Y[x] >y> Z[y])
Date html generated:
2015_07_17-PM-00_44_27
Last ObjectModification:
2015_02_04-PM-05_35_03
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