Nuprl Lemma : padic_wf
∀[p:ℤ]. (padic(p) ∈ Type)
Proof
Definitions occuring in Statement :
padic: padic(p),
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
padic: padic(p),
nat: ℕ
Lemmas referenced :
nat_wf,
ifthenelse_wf,
eq_int_wf,
p-adics_wf,
p-units_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
productEquality,
extract_by_obid,
hypothesis,
thin,
instantiate,
sqequalHypSubstitution,
isectElimination,
setElimination,
rename,
hypothesisEquality,
natural_numberEquality,
universeEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
intEquality
Latex:
\mforall{}[p:\mBbbZ{}]. (padic(p) \mmember{} Type)
Date html generated:
2018_05_21-PM-03_25_57
Last ObjectModification:
2018_05_19-AM-08_22_49
Theory : rings_1
Home
Index