Nuprl Lemma : es-prior-class-when_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[d:A]. ((X'?d) when Y ∈ EClass(B × A))
Proof
Definitions occuring in Statement :
es-prior-class-when: (X'?d) when Y,
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
universe: Type
Lemmas :
in-eclass_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
bool_wf,
eqtt_to_assert,
single-bag_wf,
eclass-val_wf,
es-prior-val_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
empty-bag_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[d:A]. ((X'?d) when Y \mmember{} EClass(B \mtimes{} A))
Date html generated:
2015_07_21-PM-03_48_25
Last ObjectModification:
2015_01_27-PM-06_02_41
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