Nuprl Lemma : assoced_equiv_rel
EquivRel(ℤ;x,y.x ~ y)
Proof
Definitions occuring in Statement :
assoced: a ~ b,
equiv_rel: EquivRel(T;x,y.E[x; y]),
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
implies: P ⇒ Q,
symmetrize: Symmetrize(x,y.R[x; y];a;b),
assoced: a ~ b
Lemmas referenced :
symmetrized_preorder,
divides_wf,
istype-int,
divides_preorder
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
intEquality,
sqequalRule,
Error :lambdaEquality_alt,
hypothesisEquality,
hypothesis,
Error :inhabitedIsType,
independent_functionElimination
Latex:
EquivRel(\mBbbZ{};x,y.x \msim{} y)
Date html generated:
2019_06_20-PM-02_20_48
Last ObjectModification:
2018_10_03-AM-00_35_49
Theory : num_thy_1
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