Nuprl Lemma : num-var_wf
∀[t:Atom]. ∀[n:ℕ]. (t_n ∈ varname())
Proof
Definitions occuring in Statement :
num-var: t_n,
varname: varname(),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
atom: Atom
Definitions unfolded in proof :
varname: varname(),
uall: ∀[x:A]. B[x],
member: t ∈ T,
num-var: t_n,
subtype_rel: A ⊆r B
Lemmas referenced :
subtype_rel_b-union-right,
nat_wf,
istype-nat,
istype-atom
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
independent_pairEquality,
hypothesisEquality,
hypothesis,
applyEquality,
thin,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
atomEquality,
productEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality_alt,
isectIsTypeImplies,
inhabitedIsType
Latex:
\mforall{}[t:Atom]. \mforall{}[n:\mBbbN{}]. (t\_n \mmember{} varname())
Date html generated:
2020_05_19-PM-09_52_57
Last ObjectModification:
2020_03_09-PM-04_07_56
Theory : terms
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