Nuprl Lemma : RankEx2_ListProd-listprod_wf
∀[S,T:Type]. ∀[v:RankEx2(S;T)]. RankEx2_ListProd-listprod(v) ∈ (S × RankEx2(S;T)) List supposing ↑RankEx2_ListProd?(v)
Proof
Definitions occuring in Statement :
RankEx2_ListProd-listprod: RankEx2_ListProd-listprod(v),
RankEx2_ListProd?: RankEx2_ListProd?(v),
RankEx2: RankEx2(S;T),
list: T List,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
universe: Type
Lemmas :
RankEx2-ext,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
subtype_base_sq,
atom_subtype_base,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
assert_wf,
RankEx2_ListProd?_wf,
RankEx2_wf
\mforall{}[S,T:Type]. \mforall{}[v:RankEx2(S;T)].
RankEx2\_ListProd-listprod(v) \mmember{} (S \mtimes{} RankEx2(S;T)) List supposing \muparrow{}RankEx2\_ListProd?(v)
Date html generated:
2015_07_17-AM-07_50_02
Last ObjectModification:
2015_01_27-AM-09_36_21
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