Nuprl Lemma : RankEx2_Union_wf
∀[S,T:Type]. ∀[union:S × RankEx2(S;T) + RankEx2(S;T)]. (RankEx2_Union(union) ∈ RankEx2(S;T))
Proof
Definitions occuring in Statement :
RankEx2_Union: RankEx2_Union(union),
RankEx2: RankEx2(S;T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
union: left + right,
universe: Type
Lemmas :
RankEx2co-ext,
subtype_rel_sum,
RankEx2co_wf,
subtype_rel_product,
eq_atom_wf,
bool_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
eqtt_to_assert,
assert_of_eq_atom,
list_wf,
add_nat_wf,
false_wf,
le_wf,
RankEx2_size_wf,
nat_wf,
value-type-has-value,
set-value-type,
int-value-type,
has-value_wf-partial,
RankEx2co_size_wf,
RankEx2_wf
\mforall{}[S,T:Type]. \mforall{}[union:S \mtimes{} RankEx2(S;T) + RankEx2(S;T)]. (RankEx2\_Union(union) \mmember{} RankEx2(S;T))
Date html generated:
2015_07_17-AM-07_49_15
Last ObjectModification:
2015_01_27-AM-09_37_38
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