Nuprl Lemma : tagged-true-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X:EClass(T × 𝔹)]. ∀[e:E].
Tagged_tt(X)(e) ~ fst(X(e)) supposing ↑e ∈b Tagged_tt(X)
Proof
Definitions occuring in Statement :
es-tagged-true-class: Tagged_tt(X),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
bool: 𝔹,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
pi1: fst(t),
product: x:A × B[x],
universe: Type,
sqequal: s ~ t
Lemmas :
assert_wf,
in-eclass_wf,
es-tagged-true-class_wf,
top_wf,
es-interface-subtype_rel2,
bool_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
subtype_rel_product,
subtype_rel_self,
eclass_wf,
is-tagged-true,
es-filter-image-val,
subtype_top,
eclass-val_wf,
eqtt_to_assert,
bag_only_single_lemma,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X:EClass(T \mtimes{} \mBbbB{})]. \mforall{}[e:E].
Tagged\_tt(X)(e) \msim{} fst(X(e)) supposing \muparrow{}e \mmember{}\msubb{} Tagged\_tt(X)
Date html generated:
2015_07_20-PM-03_16_18
Last ObjectModification:
2015_01_27-PM-10_32_31
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