Nuprl Lemma : co-list-subtype
∀[T:Type]. (colist(T) ⊆r (Unit ⋃ (T × colist(T))))
Proof
Definitions occuring in Statement :
colist: colist(T),
b-union: A ⋃ B,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
unit: Unit,
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ext-eq: A ≡ B,
and: P ∧ Q
Lemmas referenced :
co-list-ext
Rules used in proof :
cut,
lemma_by_obid,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
hypothesis,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
productElimination,
universeEquality
Latex:
\mforall{}[T:Type]. (colist(T) \msubseteq{}r (Unit \mcup{} (T \mtimes{} colist(T))))
Date html generated:
2016_05_15-PM-10_09_04
Last ObjectModification:
2015_12_27-PM-05_59_49
Theory : eval!all
Home
Index