Nuprl Lemma : nsub2_subtype_extd-nameset
∀[L:Cname List]. (ℕ2 ⊆r extd-nameset(L))
Proof
Definitions occuring in Statement :
extd-nameset: extd-nameset(L),
coordinate_name: Cname,
list: T List,
int_seg: {i..j-},
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
natural_number: $n
Definitions unfolded in proof :
extd-nameset: extd-nameset(L),
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B
Lemmas referenced :
subtype_rel_b-union-right,
nameset_wf,
int_seg_wf,
list_wf,
coordinate_name_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
natural_numberEquality,
axiomEquality
Latex:
\mforall{}[L:Cname List]. (\mBbbN{}2 \msubseteq{}r extd-nameset(L))
Date html generated:
2016_05_20-AM-09_29_07
Last ObjectModification:
2015_12_28-PM-04_47_50
Theory : cubical!sets
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