Nuprl Lemma : unit_subtype_colist
∀[T:Type]. (Unit ⊆r colist(T))
Proof
Definitions occuring in Statement :
colist: colist(T),
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
unit: Unit,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ext-eq: A ≡ B,
and: P ∧ Q,
uimplies: b supposing a,
guard: {T}
Lemmas referenced :
colist-ext,
subtype_rel_transitivity,
unit_wf2,
b-union_wf,
colist_wf,
subtype_rel_b-union-left,
istype-universe
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
hypothesis,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
productElimination,
productEquality,
independent_isectElimination,
because_Cache,
instantiate,
universeEquality
Latex:
\mforall{}[T:Type]. (Unit \msubseteq{}r colist(T))
Date html generated:
2019_06_20-PM-00_38_06
Last ObjectModification:
2018_12_04-PM-00_04_33
Theory : list_0
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