Nuprl Lemma : disjoint-union-class_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. (X + Y ∈ EClass(A + B))
Proof
Definitions occuring in Statement :
disjoint-union-class: X + Y,
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
union: left + right,
universe: Type
Lemmas :
simple-comb-2_wf,
bag-null_wf,
bool_wf,
eqtt_to_assert,
assert-bag-null,
bag-map_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
equal-wf-T-base,
bag_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. (X + Y \mmember{} EClass(A + B))
Date html generated:
2015_07_22-PM-00_14_21
Last ObjectModification:
2015_01_28-AM-10_45_37
Home
Index