Nuprl Lemma : sqle_n-wf
∀[x,y:Base]. ∀[n:ℕ]. (x ≤n y ∈ Type)
Proof
Definitions occuring in Statement :
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
base: Base,
universe: Type,
sqle_n: s ≤n t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
nat_wf,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqlenIntensionalEquality,
hypothesisEquality,
sqequalHypSubstitution,
hypothesis,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :universeIsType,
extract_by_obid,
Error :isect_memberEquality_alt,
isectElimination,
thin,
Error :isectIsTypeImplies,
Error :inhabitedIsType
Latex:
\mforall{}[x,y:Base]. \mforall{}[n:\mBbbN{}]. (x \mleq{}n y \mmember{} Type)
Date html generated:
2019_06_20-AM-11_33_46
Last ObjectModification:
2018_10_15-PM-10_36_48
Theory : int_1
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