Nuprl Lemma : decidable__assoced
∀a,b:ℤ. Dec(a ~ b)
Proof
Definitions occuring in Statement :
assoced: a ~ b,
decidable: Dec(P),
all: ∀x:A. B[x],
int: ℤ
Definitions unfolded in proof :
assoced: a ~ b,
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ,
implies: P ⇒ Q
Lemmas referenced :
decidable__and2,
divides_wf,
decidable__divides_ext,
istype-int
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
Error :lambdaFormation_alt,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
Error :isect_memberEquality_alt,
Error :universeIsType,
independent_functionElimination,
dependent_functionElimination,
because_Cache,
Error :inhabitedIsType
Latex:
\mforall{}a,b:\mBbbZ{}. Dec(a \msim{} b)
Date html generated:
2019_06_20-PM-02_20_50
Last ObjectModification:
2018_10_03-AM-00_35_48
Theory : num_thy_1
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