Nuprl Lemma : tagged-true-property
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T × 𝔹)]. ∀[e:E(Tagged_tt(X))]. ((↑e ∈b X) ∧ (↑(snd(X(e)))))
Proof
Definitions occuring in Statement :
es-tagged-true-class: Tagged_tt(X),
es-E-interface: E(X),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
assert: ↑b,
bool: 𝔹,
uall: ∀[x:A]. B[x],
pi2: snd(t),
and: P ∧ Q,
product: x:A × B[x],
universe: Type
Lemmas :
is-tagged-true,
in-eclass_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
top_wf,
subtype_top,
bool_wf,
eclass-val_wf,
es-E-interface_wf,
es-tagged-true-class_wf,
subtype_rel_product,
subtype_rel_self,
eclass_wf,
assert_witness,
assert_elim,
subtype_base_sq,
bool_subtype_base
Latex:
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(T \mtimes{} \mBbbB{})]. \mforall{}[e:E(Tagged\_tt(X))].
((\muparrow{}e \mmember{}\msubb{} X) \mwedge{} (\muparrow{}(snd(X(e)))))
Date html generated:
2015_07_20-PM-03_16_06
Last ObjectModification:
2015_01_27-PM-10_36_57
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