Nuprl Lemma : RankEx1_Prod-prod_wf
∀[T:Type]. ∀[v:RankEx1(T)]. RankEx1_Prod-prod(v) ∈ RankEx1(T) × RankEx1(T) supposing ↑RankEx1_Prod?(v)
Proof
Definitions occuring in Statement :
RankEx1_Prod-prod: RankEx1_Prod-prod(v),
RankEx1_Prod?: RankEx1_Prod?(v),
RankEx1: RankEx1(T),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
universe: Type
Lemmas :
RankEx1-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,
RankEx1_Prod?_wf,
RankEx1_wf
\mforall{}[T:Type]. \mforall{}[v:RankEx1(T)].
RankEx1\_Prod-prod(v) \mmember{} RankEx1(T) \mtimes{} RankEx1(T) supposing \muparrow{}RankEx1\_Prod?(v)
Date html generated:
2015_07_17-AM-07_48_11
Last ObjectModification:
2015_01_27-AM-09_38_19
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