Nuprl Lemma : prior-val-unique
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X:EClass(T)]. ∀[e:E]. ∀[e':E(X)].
((X)'(e) = X(e') ∈ T) supposing ((¬(e' <loc prior(X)(e))) and (e' <loc e))
Proof
Definitions occuring in Statement :
es-prior-val: (X)',
es-prior-interface: prior(X),
es-E-interface: E(X),
eclass-val: X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
universe: Type,
equal: s = t ∈ T
Lemmas :
prior-val-is,
not_wf,
es-locl_wf,
event-ordering+_subtype,
es-E-interface_wf,
es-interface-subtype_rel2,
es-E_wf,
top_wf,
eclass_wf,
event-ordering+_wf,
es-le-prior-interface-val,
assert_wf,
in-eclass_wf,
es-locl_transitivity2,
eclass-val_wf2,
es-prior-interface_wf,
is-prior-interface,
assert_elim,
subtype_base_sq,
bool_wf,
bool_subtype_base
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[e:E]. \mforall{}[e':E(X)].
((X)'(e) = X(e')) supposing ((\mneg{}(e' <loc prior(X)(e))) and (e' <loc e))
Date html generated:
2015_07_21-PM-03_21_21
Last ObjectModification:
2015_01_27-PM-06_48_29
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