Nuprl Lemma : tagged+_subtype_rel
∀[T,B:Type]. ∀[z:Atom]. (T |+ z:B ⊆r T)
Proof
Definitions occuring in Statement :
tagged+: T |+ z:B,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
atom: Atom,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
tagged+: T |+ z:B,
subtype_rel: A ⊆r B
Lemmas referenced :
isect2_subtype_rel,
tag-case_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
atomEquality,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[T,B:Type]. \mforall{}[z:Atom]. (T |+ z:B \msubseteq{}r T)
Date html generated:
2016_05_15-PM-06_46_14
Last ObjectModification:
2015_12_27-AM-11_48_35
Theory : general
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