Nuprl Lemma : primed-class-opt_eq_class-opt-class-primed
∀[Info,T:Type]. ∀[init:Id ─→ bag(T)]. ∀[X:EClass(T)]. (Prior(X)?init = Prior(X)?λl.init l| | ∈ EClass(T))
Proof
Definitions occuring in Statement :
class-opt-class: X?Y,
primed-class-opt: Prior(X)?b,
primed-class: Prior(X),
simple-loc-comb0: λl.b[l]| |,
eclass: EClass(A[eo; e]),
Id: Id,
uall: ∀[x:A]. B[x],
apply: f a,
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T,
bag: bag(T)
Lemmas :
stuck-spread,
base_wf,
es-E_wf,
event-ordering+_subtype,
bag-null_wf,
es-local-pred_wf,
lt_int_wf,
bag-size_wf,
nat_wf,
or_wf,
sq_exists_wf,
es-locl_wf,
assert_wf,
all_wf,
not_wf,
empty-bag_wf,
equal_wf,
bool_wf,
equal-wf-T-base,
bag_wf,
iff_weakening_equal,
bag_size_empty_lemma,
es-loc_wf,
bnot_wf,
eclass_wf,
event-ordering+_wf,
Id_wf,
uiff_transitivity,
eqtt_to_assert,
assert-bag-null,
iff_transitivity,
iff_weakening_uiff,
eqff_to_assert,
assert_of_bnot,
squash_wf,
true_wf
Latex:
\mforall{}[Info,T:Type]. \mforall{}[init:Id {}\mrightarrow{} bag(T)]. \mforall{}[X:EClass(T)]. (Prior(X)?init = Prior(X)?\mlambda{}l.init l| |)
Date html generated:
2015_07_21-PM-02_42_41
Last ObjectModification:
2015_02_04-PM-06_20_34
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