Nuprl Lemma : coprime_wf
∀[a,b:ℤ]. (CoPrime(a,b) ∈ ℙ)
Proof
Definitions occuring in Statement :
coprime: CoPrime(a,b),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
coprime: CoPrime(a,b)
Lemmas referenced :
gcd_p_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
natural_numberEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :inhabitedIsType,
isect_memberEquality,
intEquality,
Error :universeIsType
Latex:
\mforall{}[a,b:\mBbbZ{}]. (CoPrime(a,b) \mmember{} \mBbbP{})
Date html generated:
2019_06_20-PM-02_22_35
Last ObjectModification:
2018_09_26-PM-05_49_07
Theory : num_thy_1
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